Bifurcation Analysis

Bifurcation analysis reveals how a system’s qualitative behavior changes as parameters vary: fixed points, oscillations, and the transitions between them.

TVBO supports multiple backends for bifurcation analysis using the same Continuation specification:

Quick Start

from IPython.display import Markdown
from tvbo import Continuation, Dynamics, SimulationExperiment

try:
    from bsplot import style
    style.use('tvbo')
except ImportError:
    pass
model = Dynamics.from_ontology('Generic2dOscillator')
Markdown(model.generate_report())
* Owlready2 * Warning: ignoring cyclic subclass of/subproperty of, involving:
  http://uri.interlex.org/tgbugs/uris/readable/atlas/Space

Generic2dOscillator

The Generic 2-Dimensional Oscillator (G2D) is a phenomenological, coupled, nonlinear two-dimensional (i.e., two state-variables (‘V’, ‘W’)) oscillatory, neural mass model. The G2D is a generalization of the well-known FitzHugh-Nagumo model (FitzHugh, 1961; Nagumo et. al, 1962), adapted here for reproducing a wilder class of dynamical configurations of physiological phenomena as observed in neuronal population using phase-portrait method.

autonomous: True; modes: 1; state variables: 2; parameters: 12.

State Equations

\[ \dot{V} = d \tau \left(I \gamma + V g + V c_{local} + W \alpha + c_{glob} \gamma + e V^{2} - f V^{3}\right) \] \[ \dot{W} = \frac{d \left(a + V b + c V^{2} - W \beta\right)}{\tau} \]

State Variables

Variable Equation Domain / Sampling Flags Description
\(V\) differential (order 1) [-2, 4] coupling, recorded V_G2D is the first state-variable of the Generic 2-Dimensional Oscillator model, that can be associated with membrane potentials and sodium activation (FitzHugh, 1961)
\(W\) differential (order 1) [-6, 6] recorded W_G2D is the second state-variable of the Generic 2-Dimensional Oscillator model, that can be associated with accommodation and refractoriness and considered to represent potassium activation, sodium inactivation, or both (FitzHugh, 1961)

Parameters

Parameter Value Domain / Sampling Description
\(I\) 0 [-5, 5], step=0.01 Baseline shift of the cubic nullcline
\(a\) -2 [-5, 5], step=0.01 Vertical shift of the configurable nullcline
\(\alpha\) 1 [-5, 5], step=0.0001 Constant parameter to scale the rate of feedback from the slow variable to the fast variable.
\(b\) -10 [-20, 15], step=0.01 Linear slope of the configurable nullcline
\(\beta\) 1 [-5, 5], step=0.0001 Constant parameter to scale the rate of feedback from the slow variable to itself
\(c\) 0 [-10, 10], step=0.01 Parabolic term of the configurable nullcline
\(d\) 0.02 [0.0001, 1], step=0.0001 Temporal scale factor
\(e\) 3 [-5, 5], step=0.0001 Coefficient of the quadratic term of the cubic nullcline
\(f\) 1 [-5, 5], step=0.0001 Coefficient of the cubic term of the cubic nullcline
\(g\) 0 [-5, 5], step=0.5 Coefficient of the linear term of the cubic nullcline
\(\gamma\) 1 [-1, 1], step=0.1 Constant parameter to reproduce FHN dynamics where excitatory input currents are negative
\(\tau\) 1 [1, 5], step=0.01 A time-scale hierarchy can be introduced for the state variables :math:V and :math:W

Coupling Inputs

c_glob, local_coupling

References

FitzHugh, R. (1961). Impulses and physiological states in theoretical models of nerve membrane. Biophysical Journal, 1(6), 445-466.

Nagumo, J., Arimoto, S., & Yoshizawa, S. (1962). An active pulse transmission line simulating nerve axon. Proceedings of the IRE, 50(10), 2061-2070.

cont = Continuation.from_string(
    """\
name: eq_in_I
label: "Equilibrium branch in I"
description: >-
    Continue the equilibrium branch of the Generic2dOscillator as parameter I is varied. Detect Hopf bifurcations and continue periodic orbits from all Hopf points.

dynamics: Generic2dOscillator

free_parameters:
    - name: I
      domain:
          lo: "-10"
          hi: "20"

branches:
    - name: po_from_hopf
      source_point: "hopf:all"
"""
)

exp = SimulationExperiment(dynamics=model, continuations=[cont])

Each exp.run(...) call returns an ExperimentResult. Continuation outputs are stored in result.continuations and keyed by the continuation name from the metadata. For single-continuation experiments, the container still delegates plotting methods to that continuation for convenience.

BifurcationKit.jl backend

bif_result_jl = exp.run("bifurcationkit.jl")
eq_in_I_jl = bif_result_jl.continuations["eq_in_I"]
eq_in_I_jl.plot(VOI="V")
Detected IPython. Loading juliacall extension. See https://juliapy.github.io/PythonCall.jl/stable/compat/#IPython
CT: 1.193756 seconds (3.34 M allocations: 168.132 MiB, 99.81% compilation time)
CT: 20.055505 seconds (7.25 M allocations: 6.085 GiB, 6.47% gc time, 20.47% compilation time)
CT: 26.218735 seconds (3.78 M allocations: 6.233 GiB, 4.89% gc time)

PyRates/PyCoBi backend (same specification!)

bif_result_py = exp.run("pyrates-bifurcation")
eq_in_I_py = bif_result_py.continuations["eq_in_I"]
eq_in_I_py.plot(VOI="V")
Compilation Progress
--------------------
    (1) Translating the circuit template into a networkx graph representation...
        ...finished.
    (2) Preprocessing edge transmission operations...
        ...finished.
    (3) Parsing the model equations into a compute graph...
        ...finished.
    Model compilation was finished.
/opt/homebrew/bin/gfortran -arch arm64 -O -fopenmp -O -c tvbo_bif.f90 -o tvbo_bif.o
/opt/homebrew/bin/gfortran -arch arm64 -O -fopenmp -O tvbo_bif.o -o tvbo_bif.exe /Applications/auto-07p/lib/*.o
Starting tvbo_bif ...
ld: warning: duplicate -rpath '/Library/Developer/CommandLineTools/SDKs/MacOSX26.4.sdk/usr/lib' ignored

  BR    PT  TY  LAB    PAR(14)       L2-NORM          V             W       
   1     1  EP    1   0.00000E+00   1.41421E-01   1.00000E-01   1.00000E-01
   1    20        2   1.37817E+00   1.03400E-01   1.02233E-01   1.54945E-02
   1    40        3   9.39335E+00   4.22403E-01   7.06658E-02  -4.16450E-01
   1    60        4   1.76917E+01   6.93462E-01  -2.47192E-02  -6.93021E-01
   1    80        5   2.59942E+01   7.70212E-01  -1.43672E-01  -7.56694E-01
   1   100        6   4.06261E+01   5.63330E-01  -2.80740E-01  -4.88391E-01
   1   120        7   6.00287E+01   2.74659E-01  -2.68904E-01  -5.59339E-02
   1   140        8   8.00280E+01   1.96252E-01  -1.91538E-01   4.27550E-02
   1   160        9   1.00028E+02   1.75926E-01  -1.59850E-01  -7.34709E-02
   1   180       10   1.20027E+02   2.36790E-01  -1.75648E-01  -1.58799E-01
   1   200       11   1.40027E+02   2.44401E-01  -1.94638E-01  -1.47810E-01
   1   220       12   1.60027E+02   2.24926E-01  -1.96024E-01  -1.10301E-01
   1   240       13   1.80027E+02   2.13798E-01  -1.89394E-01  -9.91948E-02
   1   260       14   2.00027E+02   2.15654E-01  -1.86145E-01  -1.08889E-01
   1   280       15   2.20027E+02   2.20922E-01  -1.87344E-01  -1.17085E-01
   1   300       16   2.40027E+02   2.22200E-01  -1.89079E-01  -1.16712E-01
   1   320       17   2.60027E+02   2.20701E-01  -1.89326E-01  -1.13423E-01
   1   340       18   2.80027E+02   2.19604E-01  -1.88763E-01  -1.12225E-01
   1   360       19   3.00027E+02   2.19720E-01  -1.88440E-01  -1.12993E-01
   1   380       20   3.20027E+02   2.20188E-01  -1.88523E-01  -1.13763E-01
   1   400       21   3.40027E+02   2.20334E-01  -1.88680E-01  -1.13784E-01
   1   420       22   3.60027E+02   2.20214E-01  -1.88713E-01  -1.13498E-01
   1   440       23   3.80027E+02   2.20110E-01  -1.88666E-01  -1.13374E-01
   1   460       24   4.00027E+02   2.20113E-01  -1.88634E-01  -1.13432E-01
   1   480       25   4.20027E+02   2.20154E-01  -1.88639E-01  -1.13504E-01
   1   500       26   4.40027E+02   2.20170E-01  -1.88653E-01  -1.13510E-01
   1   520       27   4.60027E+02   2.20160E-01  -1.88657E-01  -1.13486E-01
   1   540       28   4.80027E+02   2.20151E-01  -1.88653E-01  -1.13473E-01
   1   560       29   5.00027E+02   2.20150E-01  -1.88650E-01  -1.13477E-01
   1   580       30   5.20027E+02   2.20154E-01  -1.88651E-01  -1.13484E-01
   1   600       31   5.40027E+02   2.20155E-01  -1.88652E-01  -1.13485E-01
   1   620       32   5.60027E+02   2.20155E-01  -1.88652E-01  -1.13483E-01
   1   640       33   5.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   660       34   6.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   680       35   6.20027E+02   2.20154E-01  -1.88652E-01  -1.13483E-01
   1   700       36   6.40027E+02   2.20154E-01  -1.88652E-01  -1.13483E-01
   1   720       37   6.60027E+02   2.20154E-01  -1.88652E-01  -1.13483E-01
   1   740       38   6.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   760       39   7.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   780       40   7.20027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   800       41   7.40027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   820       42   7.60027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   840       43   7.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   860       44   8.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   880       45   8.20027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   900       46   8.40027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   920       47   8.60027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   940       48   8.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   960       49   9.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   980       50   9.20027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1000       51   9.40027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1020       52   9.60027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1040       53   9.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1060       54   1.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1080       55   1.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1100       56   1.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1120       57   1.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1140       58   1.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1160       59   1.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1180       60   1.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1200       61   1.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1220       62   1.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1240       63   1.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1260       64   1.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1280       65   1.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1300       66   1.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1320       67   1.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1340       68   1.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1360       69   1.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1380       70   1.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1400       71   1.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1420       72   1.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1440       73   1.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1460       74   1.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1480       75   1.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1500       76   1.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1520       77   1.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1540       78   1.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1560       79   1.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1580       80   1.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1600       81   1.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1620       82   1.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1640       83   1.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1660       84   1.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1680       85   1.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1700       86   1.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1720       87   1.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1740       88   1.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1760       89   1.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1780       90   1.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1800       91   1.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1820       92   1.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1840       93   1.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1860       94   1.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1880       95   1.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1900       96   1.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1920       97   1.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1940       98   1.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1960       99   1.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1980      100   1.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2000      101   1.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2020      102   1.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2040      103   1.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2060      104   2.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2080      105   2.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2100      106   2.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2120      107   2.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2140      108   2.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2160      109   2.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2180      110   2.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2200      111   2.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2220      112   2.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2240      113   2.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2260      114   2.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2280      115   2.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2300      116   2.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2320      117   2.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2340      118   2.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2360      119   2.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2380      120   2.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2400      121   2.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2420      122   2.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2440      123   2.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2460      124   2.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2480      125   2.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2500      126   2.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2520      127   2.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2540      128   2.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2560      129   2.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2580      130   2.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2600      131   2.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2620      132   2.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2640      133   2.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2660      134   2.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2680      135   2.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2700      136   2.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2720      137   2.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2740      138   2.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2760      139   2.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2780      140   2.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2800      141   2.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2820      142   2.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2840      143   2.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2860      144   2.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2880      145   2.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2900      146   2.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2920      147   2.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2940      148   2.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2960      149   2.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2980      150   2.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
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   1  6740      338   6.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6760      339   6.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6780      340   6.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6800      341   6.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6820      342   6.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6840      343   6.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6860      344   6.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6880      345   6.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6900      346   6.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6920      347   6.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6940      348   6.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6960      349   6.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6980      350   6.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7000      351   6.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7020      352   6.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7040      353   6.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7060      354   7.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7080      355   7.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7100      356   7.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7120      357   7.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7140      358   7.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7160      359   7.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7180      360   7.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7200      361   7.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7220      362   7.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7240      363   7.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7260      364   7.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7280      365   7.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7300      366   7.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7320      367   7.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7340      368   7.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7360      369   7.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7380      370   7.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7400      371   7.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7420      372   7.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7440      373   7.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7460      374   7.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7480      375   7.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7500      376   7.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7520      377   7.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7540      378   7.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7560      379   7.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7580      380   7.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7600      381   7.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7620      382   7.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7640      383   7.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7660      384   7.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7680      385   7.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7700      386   7.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7720      387   7.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7740      388   7.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7760      389   7.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7780      390   7.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7800      391   7.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7820      392   7.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7840      393   7.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7860      394   7.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7880      395   7.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7900      396   7.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7920      397   7.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7940      398   7.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7960      399   7.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7980      400   7.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8000      401   7.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8020      402   7.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8040      403   7.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8060      404   8.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8080      405   8.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8100      406   8.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8120      407   8.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8140      408   8.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8160      409   8.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8180      410   8.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8200      411   8.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8220      412   8.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8240      413   8.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8260      414   8.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8280      415   8.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8300      416   8.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8320      417   8.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8340      418   8.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8360      419   8.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8380      420   8.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8400      421   8.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8420      422   8.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8440      423   8.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8460      424   8.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8480      425   8.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8500      426   8.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8520      427   8.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8540      428   8.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8560      429   8.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8580      430   8.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8600      431   8.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8620      432   8.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8640      433   8.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8660      434   8.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8680      435   8.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8700      436   8.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8720      437   8.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8740      438   8.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8760      439   8.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8780      440   8.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8800      441   8.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8820      442   8.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8840      443   8.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8860      444   8.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8880      445   8.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8900      446   8.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8920      447   8.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8940      448   8.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8960      449   8.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8980      450   8.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9000      451   8.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9020      452   8.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9040      453   8.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9060      454   9.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9080      455   9.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9100      456   9.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9120      457   9.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9140      458   9.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9160      459   9.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9180      460   9.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9200      461   9.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9220      462   9.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9240      463   9.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9260      464   9.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9280      465   9.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9300      466   9.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9320      467   9.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9340      468   9.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9360      469   9.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9380      470   9.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9400      471   9.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9420      472   9.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9440      473   9.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9460      474   9.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9480      475   9.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9500      476   9.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9520      477   9.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9540      478   9.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9560      479   9.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9580      480   9.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9600      481   9.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9620      482   9.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9640      483   9.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9660      484   9.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9680      485   9.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9700      486   9.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9720      487   9.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9740      488   9.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9760      489   9.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9780      490   9.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9800      491   9.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9820      492   9.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9840      493   9.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9860      494   9.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9880      495   9.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9900      496   9.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9920      497   9.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9940      498   9.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9960      499   9.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9980      500   9.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1     1      501   9.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1    21      502   9.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1    41      503   9.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1    61  UZ  504   1.00000E+04   2.20154E-01  -1.88652E-01  -1.13482E-01

 Total Time    0.219E+00
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM          V             W       
   1    10      505   3.84113E-01   4.84188E-01  -1.54099E-01  -4.59012E-01
   1    20      506   1.11508E+00   1.14127E+00  -8.61989E-02  -1.13801E+00
   1    30      507   1.83142E+00   1.83235E+00  -1.67729E-02  -1.83227E+00
   1    40      508   2.53283E+00   2.54204E+00   5.41468E-02  -2.54147E+00
   1    50      509   3.21915E+00   3.26759E+00   1.26514E-01  -3.26514E+00
   1    58  HB  510   3.74019E+00   3.83942E+00   1.83503E-01  -3.83503E+00
   1    60      511   3.87332E+00   3.98848E+00   1.98355E-01  -3.98355E+00
   1    70      512   4.53009E+00   4.74177E+00   2.73388E-01  -4.73388E+00
   1    80      513   5.17245E+00   5.50757E+00   3.49646E-01  -5.49646E+00
   1    90      514   5.80109E+00   6.28480E+00   4.27028E-01  -6.27028E+00
   1   100      515   6.41696E+00   7.07229E+00   5.05420E-01  -7.05420E+00
   1   110      516   7.02127E+00   7.86875E+00   5.84699E-01  -7.84699E+00
   1   120      517   7.61544E+00   8.67284E+00   6.64733E-01  -8.64733E+00
   1   130      518   8.20116E+00   9.48315E+00   7.45382E-01  -9.45382E+00
   1   140      519   8.78028E+00   1.02982E+01   8.26501E-01  -1.02650E+01
   1   150      520   9.35482E+00   1.11166E+01   9.07943E-01  -1.10794E+01
   1   160      521   9.92689E+00   1.19366E+01   9.89556E-01  -1.18956E+01
   1   170      522   1.04987E+01   1.27569E+01   1.07119E+00  -1.27119E+01
   1   180      523   1.10724E+01   1.35759E+01   1.15269E+00  -1.35269E+01
   1   190      524   1.16501E+01   1.43920E+01   1.23390E+00  -1.43390E+01
   1   200      525   1.22340E+01   1.52038E+01   1.31469E+00  -1.51469E+01
   1   210      526   1.28258E+01   1.60098E+01   1.39489E+00  -1.59489E+01
   1   220      527   1.34274E+01   1.68086E+01   1.47438E+00  -1.67438E+01
   1   230      528   1.40402E+01   1.75987E+01   1.55301E+00  -1.75301E+01
   1   240      529   1.46655E+01   1.83791E+01   1.63066E+00  -1.83066E+01
   1   250      530   1.53042E+01   1.91484E+01   1.70722E+00  -1.90722E+01
   1   260      531   1.59573E+01   1.99057E+01   1.78257E+00  -1.98257E+01
   1   265  HB  532   1.62598E+01   2.02466E+01   1.81650E+00  -2.01650E+01
   1   270      533   1.65952E+01   2.06174E+01   1.85339E+00  -2.05339E+01
   1   280      534   1.72774E+01   2.13485E+01   1.92615E+00  -2.12615E+01
   1   290      535   1.79747E+01   2.20653E+01   1.99747E+00  -2.19747E+01
   1   300      536   1.86870E+01   2.27671E+01   2.06731E+00  -2.26731E+01
   1   310      537   1.94140E+01   2.34537E+01   2.13563E+00  -2.33563E+01
   1   318  EP  538   2.00059E+01   2.39918E+01   2.18918E+00  -2.38918E+01

 Total Time    0.110E-01
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM        MAX V         MAX W     
 510    10      539   3.74627E+00   3.86266E+00   2.73960E-01  -3.57366E+00
 510    20      540   3.78213E+00   3.99812E+00   4.27121E-01  -3.23281E+00
 510    30      541   3.84155E+00   4.21594E+00   5.70309E-01  -3.01200E+00
 510    40      542   3.90630E+00   4.44453E+00   6.86583E-01  -2.89043E+00
 510    50      543   3.97682E+00   4.68371E+00   7.91963E-01  -2.81801E+00
 510    60      544   4.05457E+00   4.93610E+00   8.92992E-01  -2.77766E+00
 510    70      545   4.14200E+00   5.20633E+00   9.93862E-01  -2.76219E+00
 510    80      546   4.24330E+00   5.50212E+00   1.09848E+00  -2.76936E+00
 510    90      547   4.36633E+00   5.83748E+00   1.21198E+00  -2.80124E+00
 510   100      548   4.52871E+00   6.24250E+00   1.34378E+00  -2.86758E+00
 510   110      549   4.78333E+00   6.80108E+00   1.51798E+00  -3.00320E+00
 510   120      550   5.23903E+00   7.62006E+00   1.75696E+00  -3.29118E+00
 510   130      551   5.68077E+00   8.26681E+00   1.92800E+00  -3.59402E+00
 510   140      552   6.07479E+00   8.76914E+00   2.04764E+00  -3.87327E+00
 510   150      553   6.46454E+00   9.22198E+00   2.14496E+00  -4.15463E+00
 510   160      554   6.87073E+00   9.66270E+00   2.23029E+00  -4.45195E+00
 510   170      555   7.30783E+00   1.01127E+01   2.30855E+00  -4.77586E+00
 510   180      556   7.78955E+00   1.05887E+01   2.38253E+00  -5.13742E+00
 510   190      557   8.33040E+00   1.11063E+01   2.45394E+00  -5.54933E+00
 510   200      558   8.94332E+00   1.16789E+01   2.52343E+00  -6.02474E+00
 510   210      559   9.62725E+00   1.23073E+01   2.58973E+00  -6.56822E+00
 510   220      560   1.03446E+01   1.29610E+01   2.64897E+00  -7.15734E+00
 510   230      561   1.10309E+01   1.35860E+01   2.69709E+00  -7.74568E+00
 510   240      562   1.16468E+01   1.41508E+01   2.73354E+00  -8.30261E+00
 510   250      563   1.21903E+01   1.46556E+01   2.76018E+00  -8.82617E+00
 510   260      564   1.26741E+01   1.51135E+01   2.77894E+00  -9.32816E+00
 510   270      565   1.31127E+01   1.55390E+01   2.79100E+00  -9.82478E+00
 510   280      566   1.35198E+01   1.59472E+01   2.79674E+00  -1.03361E+01
 510   290      567   1.39099E+01   1.63561E+01   2.79548E+00  -1.08915E+01
 510   300      568   1.43032E+01   1.67948E+01   2.78448E+00  -1.15473E+01
 510   310      569   1.47416E+01   1.73341E+01   2.75391E+00  -1.24550E+01
 510   320      570   1.52028E+01   1.79982E+01   2.68501E+00  -1.37390E+01
 510   330      571   1.54636E+01   1.84422E+01   2.61708E+00  -1.46930E+01
 510   340      572   1.56282E+01   1.87561E+01   2.55719E+00  -1.54092E+01
 510   350      573   1.57523E+01   1.90124E+01   2.49984E+00  -1.60194E+01
 510   360      574   1.58543E+01   1.92361E+01   2.44222E+00  -1.65733E+01
 510   370      575   1.59422E+01   1.94388E+01   2.38227E+00  -1.70961E+01
 510   380      576   1.60203E+01   1.96265E+01   2.31781E+00  -1.76051E+01
 510   390      577   1.60910E+01   1.98028E+01   2.24573E+00  -1.81161E+01
 510   400      578   1.61560E+01   1.99698E+01   2.16029E+00  -1.86504E+01
 510   410      579   1.62156E+01   2.01273E+01   2.04643E+00  -1.92558E+01
 510   420      580   1.62596E+01   2.02459E+01   1.83441E+00  -2.01073E+01
 510   430      581   1.62106E+01   2.01139E+01   2.05854E+00  -1.91967E+01
 510   440      582   1.61505E+01   1.99554E+01   2.16863E+00  -1.86015E+01
 510   450      583   1.60850E+01   1.97876E+01   2.25252E+00  -1.80704E+01
 510   460      584   1.60137E+01   1.96104E+01   2.32375E+00  -1.75604E+01
 510   470      585   1.59349E+01   1.94215E+01   2.38770E+00  -1.70508E+01
 510   480      586   1.58459E+01   1.92173E+01   2.44737E+00  -1.65259E+01
 510   490      587   1.57424E+01   1.89913E+01   2.50488E+00  -1.59683E+01
 510   500      588   1.56157E+01   1.87313E+01   2.56232E+00  -1.53513E+01
 510   510      589   1.54458E+01   1.84100E+01   2.62264E+00  -1.46215E+01
 510   520      590   1.51706E+01   1.79474E+01   2.69162E+00  -1.36344E+01
 510   530      591   1.46994E+01   1.72790E+01   2.75801E+00  -1.23568E+01
 510   540      592   1.42675E+01   1.67536E+01   2.78599E+00  -1.14828E+01
 510   550      593   1.38757E+01   1.63193E+01   2.79592E+00  -1.08396E+01
 510   560      594   1.34848E+01   1.59115E+01   2.79650E+00  -1.02897E+01
 510   570      595   1.30754E+01   1.55024E+01   2.79019E+00  -9.78067E+00
 510   580      596   1.26334E+01   1.50746E+01   2.77756E+00  -9.28432E+00
 510   590      597   1.21450E+01   1.46132E+01   2.75817E+00  -8.78103E+00
 510   600      598   1.15955E+01   1.41035E+01   2.73075E+00  -8.25490E+00
 510   610      599   1.09729E+01   1.35331E+01   2.69333E+00  -7.69481E+00
 510   620      600   1.02817E+01   1.29037E+01   2.64415E+00  -7.10471E+00
 510   630      601   9.56470E+00   1.22502E+01   2.58410E+00  -6.51785E+00
 510   640      602   8.88617E+00   1.16259E+01   2.51739E+00  -5.97997E+00
 510   650      603   8.27991E+00   1.10585E+01   2.44772E+00  -5.51059E+00
 510   660      604   7.74487E+00   1.05452E+01   2.37612E+00  -5.10367E+00
 510   670      605   7.26766E+00   1.00722E+01   2.30185E+00  -4.74592E+00
 510   680      606   6.83382E+00   9.62369E+00   2.22310E+00  -4.42477E+00
 510   690      607   6.42971E+00   9.18287E+00   2.13694E+00  -4.12933E+00
 510   700      608   6.04058E+00   8.72757E+00   2.03821E+00  -3.84878E+00
 510   710      609   5.64466E+00   8.21779E+00   1.91568E+00  -3.56877E+00
 510   720      610   5.19571E+00   7.55007E+00   1.73742E+00  -3.26239E+00
 510   730      611   4.75401E+00   6.74104E+00   1.49966E+00  -2.98626E+00
 510   740      612   4.51192E+00   6.20251E+00   1.33099E+00  -2.85978E+00
 510   750      613   4.35426E+00   5.80570E+00   1.20141E+00  -2.79727E+00
 510   760      614   4.23363E+00   5.47468E+00   1.08897E+00  -2.76780E+00
 510   770      615   4.13380E+00   5.18159E+00   9.84868E-01  -2.76265E+00
 510   780      616   4.04736E+00   4.91319E+00   8.84135E-01  -2.78015E+00
 510   790      617   3.97033E+00   4.66212E+00   7.82906E-01  -2.82296E+00
 510   800      618   3.90037E+00   4.42395E+00   6.76887E-01  -2.89881E+00
 510   810      619   3.83609E+00   4.19624E+00   5.59142E-01  -3.02624E+00
 510   820      620   3.77719E+00   3.97965E+00   4.11786E-01  -3.26172E+00
 510   830  LP  621   3.74116E+00   3.84313E+00   2.19249E-01  -3.72594E+00
 510   840      622   3.79103E+00   4.03124E+00   4.52771E-01  -3.18685E+00
 510   850      623   3.85133E+00   4.25103E+00   5.89639E-01  -2.98847E+00
 510   860      624   3.91692E+00   4.48119E+00   7.03563E-01  -2.87648E+00
 510   870      625   3.98845E+00   4.72221E+00   8.07928E-01  -2.80984E+00
 510   880      626   4.06752E+00   4.97703E+00   9.08681E-01  -2.77370E+00
 510   890      627   4.15678E+00   5.25064E+00   1.00987E+00  -2.76183E+00
 510   900      628   4.26082E+00   5.55145E+00   1.11547E+00  -2.77259E+00
 510   910      629   4.38843E+00   5.89506E+00   1.23103E+00  -2.80891E+00
 510   920      630   4.56006E+00   6.31608E+00   1.36722E+00  -2.88259E+00
 510   930      631   4.84032E+00   6.91487E+00   1.55242E+00  -3.03686E+00
 510   940      632   5.31418E+00   7.73831E+00   1.78954E+00  -3.34161E+00
 510   950      633   5.74396E+00   8.35123E+00   1.94896E+00  -3.63837E+00
 510   960      634   6.13535E+00   8.84194E+00   2.06396E+00  -3.91669E+00
 510   970      635   6.52657E+00   9.29105E+00   2.15893E+00  -4.19979E+00
 510   980      636   6.93669E+00   9.73201E+00   2.24291E+00  -4.50056E+00
 510   990      637   7.37986E+00   1.01850E+01   2.32035E+00  -4.82961E+00
 510  1000      638   7.86985E+00   1.06665E+01   2.39384E+00  -5.19816E+00
 510  1010      639   8.42125E+00   1.11919E+01   2.46494E+00  -5.61919E+00
 510  1020      640   9.04601E+00   1.17738E+01   2.53407E+00  -6.10538E+00
 510  1030      641   9.73879E+00   1.24092E+01   2.59959E+00  -6.65839E+00
 510  1040      642   1.04555E+01   1.30619E+01   2.65729E+00  -7.25055E+00
 510  1050      643   1.11323E+01   1.36786E+01   2.70352E+00  -7.83516E+00
 510  1060      644   1.17364E+01   1.42334E+01   2.73829E+00  -8.38645E+00
 510  1070      645   1.22695E+01   1.47300E+01   2.76359E+00  -8.90571E+00
 510  1080      646   1.27453E+01   1.51818E+01   2.78125E+00  -9.40572E+00
 510  1090      647   1.31781E+01   1.56036E+01   2.79232E+00  -9.90317E+00
 510  1100      648   1.35816E+01   1.60106E+01   2.79704E+00  -1.04190E+01
 510  1110      649   1.39705E+01   1.64216E+01   2.79452E+00  -1.09853E+01
 510  1120      650   1.43671E+01   1.68695E+01   2.78144E+00  -1.16662E+01
 510  1130      651   1.48185E+01   1.74365E+01   2.74567E+00  -1.26411E+01
 510  1140      652   1.52551E+01   1.80826E+01   2.67351E+00  -1.39148E+01
 510  1150      653   1.54934E+01   1.84970E+01   2.60738E+00  -1.48156E+01
 510  1160      654   1.56496E+01   1.87991E+01   2.54814E+00  -1.55099E+01
 510  1170      655   1.57695E+01   1.90491E+01   2.49090E+00  -1.61089E+01
 510  1180      656   1.58688E+01   1.92690E+01   2.43305E+00  -1.66566E+01
 510  1190      657   1.59550E+01   1.94690E+01   2.37255E+00  -1.71763E+01
 510  1200      658   1.60318E+01   1.96547E+01   2.30714E+00  -1.76845E+01
 510  1210      659   1.61016E+01   1.98295E+01   2.23347E+00  -1.81974E+01
 510  1220      660   1.61657E+01   1.99951E+01   2.14502E+00  -1.87384E+01
 510  1230      661   1.62244E+01   2.01508E+01   2.02335E+00  -1.93649E+01
 510  1240      662   1.62547E+01   2.02327E+01   1.89712E+00  -1.98890E+01
 510  1250      663   1.62016E+01   2.00898E+01   2.07871E+00  -1.90957E+01
 510  1260      664   1.61406E+01   1.99297E+01   2.18296E+00  -1.85158E+01
 510  1270      665   1.60743E+01   1.97606E+01   2.26431E+00  -1.79899E+01
 510  1280      666   1.60019E+01   1.95817E+01   2.33414E+00  -1.74811E+01
 510  1290      667   1.59217E+01   1.93907E+01   2.39726E+00  -1.69701E+01
 510  1300      668   1.58309E+01   1.91836E+01   2.45645E+00  -1.64414E+01
 510  1310      669   1.57245E+01   1.89533E+01   2.51381E+00  -1.58766E+01
 510  1320      670   1.55928E+01   1.86861E+01   2.57146E+00  -1.52467E+01
 510  1330      671   1.54126E+01   1.83505E+01   2.63265E+00  -1.44903E+01
 510  1340      672   1.51080E+01   1.78506E+01   2.70357E+00  -1.34381E+01
 510  1350      673   1.46264E+01   1.71856E+01   2.76442E+00  -1.21932E+01
 510  1360      674   1.42050E+01   1.66821E+01   2.78838E+00  -1.13723E+01
 510  1370      675   1.38151E+01   1.62547E+01   2.79653E+00  -1.07492E+01
 510  1380      676   1.34224E+01   1.58481E+01   2.79594E+00  -1.02083E+01
 510  1390      677   1.30088E+01   1.54371E+01   2.78864E+00  -9.70276E+00
 510  1400      678   1.25604E+01   1.50050E+01   2.77500E+00  -9.20649E+00
 510  1410      679   1.20634E+01   1.45370E+01   2.75445E+00  -8.70062E+00
 510  1420      680   1.15032E+01   1.40185E+01   2.72561E+00  -8.16969E+00
 510  1430      681   1.08688E+01   1.34381E+01   2.68643E+00  -7.60403E+00
 510  1440      682   1.01696E+01   1.28017E+01   2.63539E+00  -7.01146E+00
 510  1450      683   9.45463E+00   1.21494E+01   2.57398E+00  -6.42957E+00
 510  1460      684   8.78631E+00   1.15333E+01   2.50663E+00  -5.90199E+00
 510  1470      685   8.19181E+00   1.09750E+01   2.43665E+00  -5.44315E+00
 510  1480      686   7.66679E+00   1.04690E+01   2.36472E+00  -5.04482E+00
 510  1490      687   7.19729E+00   1.00008E+01   2.28988E+00  -4.69356E+00
 510  1500      688   6.76900E+00   9.55470E+00   2.21021E+00  -4.37712E+00
 510  1510      689   6.36828E+00   9.11331E+00   2.12251E+00  -4.08475E+00
 510  1520      690   5.97985E+00   8.65291E+00   2.02105E+00  -3.80544E+00
 510  1530      691   5.57969E+00   8.12809E+00   1.89286E+00  -3.52353E+00
 510  1540      692   5.11725E+00   7.41959E+00   1.70051E+00  -3.21084E+00
 510  1550      693   4.70620E+00   6.64089E+00   1.46888E+00  -2.95925E+00
 510  1560      694   4.48359E+00   6.13406E+00   1.30898E+00  -2.84706E+00
 510  1570      695   4.33353E+00   5.75058E+00   1.18300E+00  -2.79083E+00
 510  1580      696   4.21690E+00   5.42678E+00   1.07229E+00  -2.76549E+00
 510  1590      697   4.11953E+00   5.13821E+00   9.68993E-01  -2.76387E+00
 510  1600      698   4.03477E+00   4.87291E+00   8.68431E-01  -2.78505E+00
 510  1610      699   3.95897E+00   4.62410E+00   7.66767E-01  -2.83234E+00
 510  1620      700   3.88996E+00   4.38768E+00   6.59491E-01  -2.91461E+00
 510  1630      701   3.82650E+00   4.16152E+00   5.38841E-01  -3.05334E+00
 510  1640      702   3.76861E+00   3.94743E+00   3.82673E-01  -3.31965E+00
 510  1650      703   3.74309E+00   3.85052E+00   2.45679E-01  -3.65021E+00
 510  1660      704   3.79139E+00   4.03257E+00   4.53755E-01  -3.18515E+00
 510  1670      705   3.85172E+00   4.25243E+00   5.90397E-01  -2.98758E+00
 510  1680      706   3.91734E+00   4.48265E+00   7.04233E-01  -2.87595E+00
 510  1690      707   3.98892E+00   4.72375E+00   8.08561E-01  -2.80953E+00
 510  1700      708   4.06804E+00   4.97867E+00   9.09304E-01  -2.77356E+00
 510  1710      709   4.15738E+00   5.25241E+00   1.01051E+00  -2.76182E+00
 510  1720      710   4.26153E+00   5.55343E+00   1.11615E+00  -2.77273E+00
 510  1730      711   4.38933E+00   5.89738E+00   1.23180E+00  -2.80924E+00
 510  1740      712   4.56135E+00   6.31909E+00   1.36817E+00  -2.88322E+00
 510  1750      713   4.84272E+00   6.91959E+00   1.55384E+00  -3.03830E+00
 510  1760      714   5.31711E+00   7.74285E+00   1.79078E+00  -3.34358E+00
 510  1770      715   5.74646E+00   8.35453E+00   1.94977E+00  -3.64013E+00
 510  1780      716   6.13776E+00   8.84481E+00   2.06460E+00  -3.91842E+00
 510  1790      717   6.52905E+00   9.29379E+00   2.15948E+00  -4.20160E+00
 510  1800      718   6.93933E+00   9.73477E+00   2.24341E+00  -4.50252E+00
 510  1810      719   7.38274E+00   1.01879E+01   2.32081E+00  -4.83177E+00
 510  1820      720   7.87307E+00   1.06696E+01   2.39428E+00  -5.20060E+00
 510  1830      721   8.42489E+00   1.11954E+01   2.46537E+00  -5.62199E+00
 510  1840      722   9.05013E+00   1.17776E+01   2.53450E+00  -6.10862E+00
 510  1850      723   9.74324E+00   1.24133E+01   2.59998E+00  -6.66201E+00
 510  1860      724   1.04599E+01   1.30659E+01   2.65761E+00  -7.25425E+00
 510  1870      725   1.11362E+01   1.36822E+01   2.70377E+00  -7.83869E+00
 510  1880      726   1.17399E+01   1.42367E+01   2.73848E+00  -8.38978E+00
 510  1890      727   1.22727E+01   1.47329E+01   2.76373E+00  -8.90886E+00
 510  1900      728   1.27481E+01   1.51845E+01   2.78133E+00  -9.40880E+00
 510  1910      729   1.31807E+01   1.56061E+01   2.79237E+00  -9.90628E+00
 510  1920      730   1.35840E+01   1.60131E+01   2.79705E+00  -1.04224E+01
 510  1930      731   1.39729E+01   1.64243E+01   2.79448E+00  -1.09891E+01
 510  1940      732   1.43697E+01   1.68726E+01   2.78131E+00  -1.16710E+01
 510  1950      733   1.48217E+01   1.74407E+01   2.74532E+00  -1.26488E+01
 510  1960      734   1.52571E+01   1.80858E+01   2.67306E+00  -1.39215E+01
 510  1970      735   1.54945E+01   1.84991E+01   2.60700E+00  -1.48204E+01
 510  1980      736   1.56504E+01   1.88007E+01   2.54778E+00  -1.55138E+01
 510  1990      737   1.57701E+01   1.90506E+01   2.49054E+00  -1.61125E+01
 510  2000  EP  738   1.58694E+01   1.92703E+01   2.43268E+00  -1.66599E+01

 Total Time    0.237E+02
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM        MAX V         MAX W     
 532    10      539   1.62507E+01   2.02218E+01   1.92356E+00  -1.97889E+01
 532    20      540   1.62044E+01   2.00972E+01   2.07268E+00  -1.91263E+01
 532    30      541   1.61436E+01   1.99376E+01   2.17862E+00  -1.85420E+01
 532    40      542   1.60776E+01   1.97689E+01   2.26072E+00  -1.80146E+01
 532    50      543   1.60055E+01   1.95905E+01   2.33097E+00  -1.75054E+01
 532    60      544   1.59258E+01   1.94002E+01   2.39434E+00  -1.69949E+01
 532    70      545   1.58355E+01   1.91940E+01   2.45367E+00  -1.64674E+01
 532    80      546   1.57300E+01   1.89650E+01   2.51107E+00  -1.59049E+01
 532    90      547   1.55999E+01   1.87001E+01   2.56865E+00  -1.52791E+01
 532   100      548   1.54231E+01   1.83691E+01   2.62955E+00  -1.45312E+01
 532   110      549   1.51280E+01   1.78812E+01   2.69989E+00  -1.34997E+01
 532   120      550   1.46485E+01   1.72137E+01   2.76256E+00  -1.22420E+01
 532   130      551   1.42241E+01   1.67038E+01   2.78768E+00  -1.14057E+01
 532   140      552   1.38337E+01   1.62745E+01   2.79637E+00  -1.07767E+01
 532   150      553   1.34416E+01   1.58675E+01   2.79613E+00  -1.02332E+01
 532   160      554   1.30293E+01   1.54572E+01   2.78913E+00  -9.72664E+00
 532   170      555   1.25830E+01   1.50264E+01   2.77580E+00  -9.23040E+00
 532   180      556   1.20886E+01   1.45605E+01   2.75561E+00  -8.72536E+00
 532   190      557   1.15317E+01   1.40448E+01   2.72721E+00  -8.19594E+00
 532   200      558   1.09009E+01   1.34674E+01   2.68858E+00  -7.63196E+00
 532   210      559   1.02040E+01   1.28331E+01   2.63811E+00  -7.04005E+00
 532   220      560   9.48829E+00   1.21802E+01   2.57710E+00  -6.45652E+00
 532   230      561   8.81676E+00   1.15615E+01   2.50994E+00  -5.92574E+00
 532   240      562   8.21866E+00   1.10005E+01   2.44005E+00  -5.46369E+00
 532   250      563   7.69060E+00   1.04923E+01   2.36822E+00  -5.06275E+00
 532   260      564   7.21878E+00   1.00226E+01   2.29357E+00  -4.70954E+00
 532   270      565   6.78882E+00   9.57585E+00   2.21418E+00  -4.39169E+00
 532   280      566   6.38709E+00   9.13470E+00   2.12697E+00  -4.09839E+00
 532   290      567   5.99851E+00   8.67597E+00   2.02638E+00  -3.81873E+00
 532   300      568   5.59977E+00   8.15603E+00   1.90001E+00  -3.53749E+00
 532   310      569   5.14145E+00   7.46036E+00   1.71211E+00  -3.22665E+00
 532   320      570   4.72033E+00   6.67079E+00   1.47809E+00  -2.96716E+00
 532   330      571   4.49210E+00   6.15475E+00   1.31565E+00  -2.85082E+00
 532   340      572   4.33981E+00   5.76734E+00   1.18861E+00  -2.79272E+00
 532   350      573   4.22198E+00   5.44139E+00   1.07739E+00  -2.76614E+00
 532   360      574   4.12388E+00   5.15146E+00   9.73855E-01  -2.76343E+00
 532   370      575   4.03861E+00   4.88523E+00   8.73252E-01  -2.78348E+00
 532   380      576   3.96244E+00   4.63573E+00   7.71733E-01  -2.82938E+00
 532   390      577   3.89314E+00   4.39878E+00   6.64861E-01  -2.90962E+00
 532   400      578   3.82943E+00   4.17215E+00   5.45145E-01  -3.04475E+00
 532   410      579   3.77122E+00   3.95723E+00   3.91906E-01  -3.30084E+00
 532   420      580   3.74878E+00   3.87225E+00   2.91355E-01  -3.52881E+00
 532   430      581   3.80309E+00   4.07585E+00   4.84433E-01  -3.13412E+00
 532   440      582   3.86450E+00   4.29798E+00   6.14518E-01  -2.96019E+00
 532   450      583   3.93124E+00   4.53025E+00   7.25760E-01  -2.85961E+00
 532   460      584   4.00418E+00   4.77383E+00   8.28988E-01  -2.80012E+00
 532   470      585   4.08510E+00   5.03206E+00   9.29520E-01  -2.76936E+00
 532   480      586   4.17696E+00   5.31046E+00   1.03127E+00  -2.76218E+00
 532   490      587   4.28494E+00   5.61851E+00   1.13840E+00  -2.77782E+00
 532   500      588   4.41935E+00   5.97427E+00   1.25707E+00  -2.82045E+00
 532   510      589   4.60539E+00   6.41996E+00   1.40004E+00  -2.90528E+00
 532   520      590   4.92674E+00   7.08053E+00   1.60190E+00  -3.08953E+00
 532   530      591   5.40984E+00   7.88344E+00   1.82877E+00  -3.40655E+00
 532   540      592   5.82658E+00   8.45917E+00   1.97526E+00  -3.69662E+00
 532   550      593   6.21579E+00   8.93711E+00   2.08491E+00  -3.97455E+00
 532   560      594   6.60964E+00   9.38246E+00   2.17707E+00  -4.26040E+00
 532   570      595   7.02550E+00   9.82446E+00   2.25942E+00  -4.56619E+00
 532   580      596   7.47723E+00   1.02821E+01   2.33586E+00  -4.90245E+00
 532   590      597   7.97875E+00   1.07714E+01   2.40876E+00  -5.28077E+00
 532   600      598   8.54464E+00   1.13078E+01   2.47947E+00  -5.71440E+00
 532   610      599   9.18498E+00   1.19019E+01   2.54807E+00  -6.21504E+00
 532   620      600   9.88777E+00   1.25451E+01   2.61237E+00  -6.77961E+00
 532   630      601   1.06010E+01   1.31943E+01   2.66788E+00  -7.37385E+00
 532   640      602   1.12639E+01   1.37990E+01   2.71162E+00  -7.95257E+00
 532   650      603   1.18525E+01   1.43409E+01   2.74425E+00  -8.49652E+00
 532   660      604   1.23725E+01   1.48269E+01   2.76784E+00  -9.01055E+00
 532   670      605   1.28382E+01   1.52713E+01   2.78406E+00  -9.50856E+00
 532   680      606   1.32638E+01   1.56887E+01   2.79383E+00  -1.00079E+01
 532   690      607   1.36629E+01   1.60948E+01   2.79718E+00  -1.05310E+01
 532   700      608   1.40512E+01   1.65100E+01   2.79287E+00  -1.11139E+01
 532   710      609   1.44540E+01   1.69730E+01   2.77664E+00  -1.18341E+01
 532   720      610   1.49230E+01   1.75803E+01   2.73268E+00  -1.29098E+01
 532   730      611   1.53163E+01   1.81841E+01   2.65882E+00  -1.41297E+01
 532   740      612   1.55302E+01   1.85659E+01   2.59474E+00  -1.49712E+01
 532   750      613   1.56767E+01   1.88542E+01   2.53620E+00  -1.56401E+01
 532   760      614   1.57915E+01   1.90968E+01   2.47901E+00  -1.62259E+01
 532   770      615   1.58876E+01   1.93119E+01   2.42077E+00  -1.67661E+01
 532   780      616   1.59716E+01   1.95086E+01   2.35947E+00  -1.72822E+01
 532   790      617   1.60468E+01   1.96918E+01   2.29268E+00  -1.77899E+01
 532   800      618   1.61153E+01   1.98646E+01   2.21665E+00  -1.83063E+01
 532   810      619   1.61783E+01   2.00283E+01   2.12362E+00  -1.88581E+01
 532   820      620   1.62357E+01   2.01811E+01   1.98853E+00  -1.95215E+01
 532   828  BP  621   1.62578E+01   2.02413E+01   1.86668E+00  -1.99982E+01
 532   830      622   1.62499E+01   2.02197E+01   1.92798E+00  -1.97717E+01
 532   840      623   1.61952E+01   2.00729E+01   2.09188E+00  -1.90279E+01
 532   850      624   1.61337E+01   1.99118E+01   2.19259E+00  -1.84570E+01
 532   860      625   1.60668E+01   1.97416E+01   2.27234E+00  -1.79343E+01
 532   870      626   1.59936E+01   1.95616E+01   2.34126E+00  -1.74260E+01
 532   880      627   1.59124E+01   1.93691E+01   2.40384E+00  -1.69138E+01
 532   890      628   1.58202E+01   1.91599E+01   2.46273E+00  -1.63822E+01
 532   900      629   1.57116E+01   1.89264E+01   2.52001E+00  -1.58121E+01
 532   910      630   1.55762E+01   1.86539E+01   2.57786E+00  -1.51723E+01
 532   920      631   1.53879E+01   1.83071E+01   2.63973E+00  -1.43952E+01
 532   930      632   1.50603E+01   1.77789E+01   2.71191E+00  -1.32949E+01
 532   940      633   1.45772E+01   1.71239E+01   2.76830E+00  -1.20870E+01
 532   950      634   1.41620E+01   1.66335E+01   2.78982E+00  -1.12982E+01
 532   960      635   1.37730E+01   1.62102E+01   2.79683E+00  -1.06876E+01
 532   970      636   1.33788E+01   1.58040E+01   2.79545E+00  -1.01522E+01
 532   980      637   1.29620E+01   1.53914E+01   2.78746E+00  -9.64881E+00
 532   990      638   1.25091E+01   1.49562E+01   2.77312E+00  -9.15234E+00
 532  1000      639   1.20059E+01   1.44834E+01   2.75175E+00  -8.64443E+00
 532  1010      640   1.14380E+01   1.39586E+01   2.72189E+00  -8.11003E+00
 532  1020      641   1.07955E+01   1.33713E+01   2.68148E+00  -7.54058E+00
 532  1030      642   1.00915E+01   1.27306E+01   2.62916E+00  -6.94686E+00
 532  1040      643   9.37895E+00   1.20801E+01   2.56687E+00  -6.36911E+00
 532  1050      644   8.71810E+00   1.14698E+01   2.49913E+00  -5.84890E+00
 532  1060      645   8.13167E+00   1.09177E+01   2.42895E+00  -5.39720E+00
 532  1070      646   7.61339E+00   1.04166E+01   2.35676E+00  -5.00465E+00
 532  1080      647   7.14904E+00   9.95159E+00   2.28151E+00  -4.65773E+00
 532  1090      648   6.72440E+00   9.50689E+00   2.20115E+00  -4.34442E+00
 532  1100      649   6.32583E+00   9.06478E+00   2.11231E+00  -4.05402E+00
 532  1110      650   5.93757E+00   8.60026E+00   2.00878E+00  -3.77532E+00
 532  1120      651   5.53373E+00   8.06341E+00   1.87617E+00  -3.49170E+00
 532  1130      652   5.06257E+00   7.32567E+00   1.67358E+00  -3.17539E+00
 532  1140      653   4.67583E+00   6.57575E+00   1.44872E+00  -2.94254E+00
 532  1150      654   4.46489E+00   6.08821E+00   1.29417E+00  -2.83898E+00
 532  1160      655   4.31961E+00   5.71314E+00   1.17043E+00  -2.78679E+00
 532  1170      656   4.20555E+00   5.39402E+00   1.06082E+00  -2.76422E+00
 532  1180      657   4.10980E+00   5.10844E+00   9.58012E-01  -2.76504E+00
 532  1190      658   4.02615E+00   4.84519E+00   8.57515E-01  -2.78883E+00
 532  1200      659   3.95118E+00   4.59788E+00   7.55490E-01  -2.83935E+00
 532  1210      660   3.88282E+00   4.36265E+00   6.47238E-01  -2.92634E+00
 532  1220      661   3.81992E+00   4.13758E+00   5.24316E-01  -3.07373E+00
 532  1230      662   3.76282E+00   3.92558E+00   3.60611E-01  -3.36628E+00
 532  1240      663   3.75631E+00   3.90091E+00   3.32288E-01  -3.42972E+00
 532  1250      664   3.81235E+00   4.10990E+00   5.06907E-01  -3.09929E+00
 532  1260      665   3.87459E+00   4.33368E+00   6.32781E-01  -2.94084E+00
 532  1270      666   3.94221E+00   4.56757E+00   7.42282E-01  -2.84802E+00
 532  1280      667   4.01626E+00   4.81318E+00   8.44799E-01  -2.79360E+00
 532  1290      668   4.09866E+00   5.07413E+00   9.45273E-01  -2.76674E+00
 532  1300      669   4.19262E+00   5.35641E+00   1.04757E+00  -2.76308E+00
 532  1310      670   4.30386E+00   5.67040E+00   1.15600E+00  -2.78251E+00
 532  1320      671   4.44402E+00   6.03641E+00   1.27735E+00  -2.83028E+00
 532  1330      672   4.64296E+00   6.50388E+00   1.42634E+00  -2.92488E+00
 532  1340      673   4.99977E+00   7.21452E+00   1.64132E+00  -3.13527E+00
 532  1350      674   5.47922E+00   7.98527E+00   1.85576E+00  -3.45410E+00
 532  1360      675   5.88819E+00   8.53802E+00   1.99411E+00  -3.74024E+00
 532  1370      676   6.27661E+00   9.00803E+00   2.10022E+00  -4.01844E+00
 532  1380      677   6.67292E+00   9.45133E+00   2.19049E+00  -4.30668E+00
 532  1390      678   7.09351E+00   9.89465E+00   2.27170E+00  -4.61654E+00
 532  1400      679   7.55208E+00   1.03562E+01   2.34746E+00  -4.95858E+00
 532  1410      680   8.06273E+00   1.08519E+01   2.41995E+00  -5.34465E+00
 532  1420      681   8.63989E+00   1.13969E+01   2.49037E+00  -5.78814E+00
 532  1430      682   9.29172E+00   1.20000E+01   2.55852E+00  -6.29967E+00
 532  1440      683   1.00005E+01   1.26478E+01   2.62176E+00  -6.87193E+00
 532  1450      684   1.07093E+01   1.32928E+01   2.67552E+00  -7.46636E+00
 532  1460      685   1.13610E+01   1.38880E+01   2.71742E+00  -8.04008E+00
 532  1470      686   1.19381E+01   1.44203E+01   2.74849E+00  -8.57867E+00
 532  1480      687   1.24486E+01   1.48989E+01   2.77083E+00  -9.08917E+00
 532  1490      688   1.29071E+01   1.53380E+01   2.78601E+00  -9.58615E+00
 532  1500      689   1.33277E+01   1.57526E+01   2.79479E+00  -1.00875E+01
 532  1510      690   1.37240E+01   1.61585E+01   2.79706E+00  -1.06171E+01
 532  1520      691   1.41124E+01   1.65778E+01   2.79130E+00  -1.12145E+01
 532  1530      692   1.45214E+01   1.70549E+01   2.77231E+00  -1.19702E+01
 532  1540      693   1.50005E+01   1.76910E+01   2.72151E+00  -1.31225E+01
 532  1550      694   1.53574E+01   1.82541E+01   2.64814E+00  -1.42801E+01
 532  1560      695   1.55562E+01   1.86153E+01   2.58535E+00  -1.50839E+01
 532  1570      696   1.56963E+01   1.88946E+01   2.52723E+00  -1.57360E+01
 532  1580      697   1.58075E+01   1.91320E+01   2.47002E+00  -1.63128E+01
 532  1590      698   1.59015E+01   1.93437E+01   2.41143E+00  -1.68481E+01
 532  1600      699   1.59839E+01   1.95380E+01   2.34944E+00  -1.73618E+01
 532  1610      700   1.60579E+01   1.97195E+01   2.28151E+00  -1.78697E+01
 532  1620      701   1.61255E+01   1.98908E+01   2.20351E+00  -1.83894E+01
 532  1630      702   1.61877E+01   2.00531E+01   2.10647E+00  -1.89509E+01
 532  1640      703   1.62438E+01   2.02030E+01   1.95761E+00  -1.96526E+01
 532  1650      704   1.62371E+01   2.01850E+01   1.98345E+00  -1.95435E+01
 532  1660      705   1.61800E+01   2.00327E+01   2.12069E+00  -1.88741E+01
 532  1670      706   1.61171E+01   1.98692E+01   2.21438E+00  -1.83207E+01
 532  1680      707   1.60487E+01   1.96967E+01   2.29074E+00  -1.78039E+01
 532  1690      708   1.59737E+01   1.95137E+01   2.35772E+00  -1.72961E+01
 532  1700      709   1.58901E+01   1.93175E+01   2.41915E+00  -1.67805E+01
 532  1710      710   1.57943E+01   1.91030E+01   2.47744E+00  -1.62411E+01
 532  1720      711   1.56802E+01   1.88614E+01   2.53463E+00  -1.56570E+01
 532  1730      712   1.55349E+01   1.85747E+01   2.59309E+00  -1.49912E+01
 532  1740      713   1.53238E+01   1.81968E+01   2.65693E+00  -1.41568E+01
 532  1750      714   1.49371E+01   1.76003E+01   2.73074E+00  -1.29477E+01
 532  1760      715   1.44657E+01   1.69870E+01   2.77593E+00  -1.18573E+01
 532  1770      716   1.40619E+01   1.65218E+01   2.79262E+00  -1.11312E+01
 532  1780      717   1.36736E+01   1.61059E+01   2.79717E+00  -1.05459E+01
 532  1790      718   1.32750E+01   1.56999E+01   2.79401E+00  -1.00218E+01
 532  1800      719   1.28503E+01   1.52830E+01   2.78442E+00  -9.52211E+00
 532  1810      720   1.23859E+01   1.48396E+01   2.76837E+00  -9.02432E+00
 532  1820      721   1.18675E+01   1.43549E+01   2.74501E+00  -8.51094E+00
 532  1830      722   1.12810E+01   1.38147E+01   2.71266E+00  -7.96794E+00
 532  1840      723   1.06201E+01   1.32116E+01   2.66924E+00  -7.39008E+00
 532  1850      724   9.90749E+00   1.25630E+01   2.61403E+00  -6.79572E+00
 532  1860      725   9.20355E+00   1.19190E+01   2.54991E+00  -6.22973E+00
 532  1870      726   8.56116E+00   1.13233E+01   2.48138E+00  -5.72716E+00
 532  1880      727   7.99331E+00   1.07854E+01   2.41072E+00  -5.29183E+00
 532  1890      728   7.49022E+00   1.02950E+01   2.33789E+00  -4.91219E+00
 532  1900      729   7.03732E+00   9.83670E+00   2.26157E+00  -4.57492E+00
 532  1910      730   6.62065E+00   9.39450E+00   2.17944E+00  -4.26845E+00
 532  1920      731   6.22640E+00   8.94956E+00   2.08761E+00  -3.98221E+00
 532  1930      732   5.83738E+00   8.47310E+00   1.97861E+00  -3.70426E+00
 532  1940      733   5.42217E+00   7.90174E+00   1.83365E+00  -3.41496E+00
 532  1950      734   4.93939E+00   7.10413E+00   1.60888E+00  -3.09737E+00
 532  1960      735   4.61174E+00   6.43428E+00   1.40454E+00  -2.90855E+00
 532  1970      736   4.42357E+00   5.98498E+00   1.26057E+00  -2.82210E+00
 532  1980      737   4.28820E+00   5.62749E+00   1.14146E+00  -2.77860E+00
 532  1990      738   4.17966E+00   5.31844E+00   1.03411E+00  -2.76230E+00
 532  2000  EP  739   4.08745E+00   5.03937E+00   9.32271E-01  -2.76886E+00

 Total Time    0.213E+02
tvbo_bif ... done

Codim-2 Bifurcation Analysis

Codim-2 continuation traces how bifurcation points (folds, Hopfs) move in a two-parameter plane. This reveals cusp, Bogdanov-Takens (BT), and generalized Hopf (GH) organizing centers.

Choose parameter pairs that interact nonlinearly, such as I (nullcline shift) with b (nullcline slope), rather than two shift parameters like I and a which produce trivially parallel curves.

Both backends support codim-2. Add a continuation with free_parameters inside a branch:

cont_c2 = Continuation.from_string(
    """\
name: eq_I_with_codim2
dynamics: Generic2dOscillator

free_parameters:
    - name: I
      domain:
          lo: "-10"
          hi: "20"

branches:
    - name: po_from_hopf
      source_point: "hopf:all"
    - name: hopf_curve_in_b
      source_point: "hopf:all"
      bothside: true
      continuation:
          name: c2_hopf_in_b
          free_parameters:
              - name: b
                domain:
                    lo: "-20"
                    hi: "0"
          max_steps: 500
          ds: 0.01
"""
)

exp_c2 = SimulationExperiment(dynamics=model, continuations=[cont_c2])

BifurcationKit.jl codim-2

result_c2_jl = exp_c2.run("bifurcationkit.jl")
eq_I_with_codim2_jl = result_c2_jl.continuations["eq_I_with_codim2"]
eq_I_with_codim2_jl.plot()
CT: 0.624521 seconds (842.94 k allocations: 41.864 MiB, 99.30% compilation time)
CT: 32.471503 seconds (6.58 M allocations: 6.052 GiB, 5.99% gc time, 18.59% compilation time)
CT: 10.713465 seconds (3.78 M allocations: 6.233 GiB, 10.74% gc time)
CT: 2.448335 seconds (3.95 M allocations: 197.997 MiB, 96.85% compilation time: 11% of which was recompilation)
CT: 0.020089 seconds (106.02 k allocations: 7.334 MiB)
┌ Warning: More than one Event was detected bt-bp. We call the continuous event to save data in the branch.
└ @ BifurcationKit ~/.julia/packages/BifurcationKit/ewcBB/src/events/EventDetection.jl:351
┌ Warning: [Codim 2 Hopf - Finalizer] The Hopf curve seems to be close to a BT point: ω ≈ 1.1908649255648495e-11. Stopping computations at (2.088635599387638, -0.9998555305057149). If the BT point is not detected, try lowering Newton tolerance or dsmax.
└ @ BifurcationKit ~/.julia/packages/BifurcationKit/ewcBB/src/codim2/MinAugHopf.jl:477
┌ Error: Failure to converge with given tolerance = 1.0e-12.
│ Step = 112
│ You can decrease the tolerance or pass a different norm using the argument `normC`.
│ We reached the smallest value [dsmin] valid for ds, namely 0.0001.
│ Stopping continuation at continuation step 112.
└ @ BifurcationKit ~/.julia/packages/BifurcationKit/ewcBB/src/continuation/Contbase.jl:73
CT: 0.008988 seconds (239.12 k allocations: 17.698 MiB)
CT: 0.005702 seconds (157.11 k allocations: 10.669 MiB)

PyRates/PyCoBi codim-2

result_c2_py = exp_c2.run("pyrates-bifurcation")
eq_I_with_codim2_py = result_c2_py.continuations["eq_I_with_codim2"]
eq_I_with_codim2_py.plot()
Compilation Progress
--------------------
    (1) Translating the circuit template into a networkx graph representation...
        ...finished.
    (2) Preprocessing edge transmission operations...
        ...finished.
    (3) Parsing the model equations into a compute graph...
        ...finished.
    Model compilation was finished.
/opt/homebrew/bin/gfortran -arch arm64 -O -fopenmp -O -c tvbo_bif.f90 -o tvbo_bif.o
/opt/homebrew/bin/gfortran -arch arm64 -O -fopenmp -O tvbo_bif.o -o tvbo_bif.exe /Applications/auto-07p/lib/*.o
ld: warning: duplicate -rpath '/Library/Developer/CommandLineTools/SDKs/MacOSX26.4.sdk/usr/lib' ignored
Starting tvbo_bif ...

  BR    PT  TY  LAB    PAR(14)       L2-NORM          V             W       
   1     1  EP    1   0.00000E+00   1.41421E-01   1.00000E-01   1.00000E-01
   1    20        2   1.37817E+00   1.03400E-01   1.02233E-01   1.54945E-02
   1    40        3   9.39335E+00   4.22403E-01   7.06658E-02  -4.16450E-01
   1    60        4   1.76917E+01   6.93462E-01  -2.47192E-02  -6.93021E-01
   1    80        5   2.59942E+01   7.70212E-01  -1.43672E-01  -7.56694E-01
   1   100        6   4.06261E+01   5.63330E-01  -2.80740E-01  -4.88391E-01
   1   120        7   6.00287E+01   2.74659E-01  -2.68904E-01  -5.59339E-02
   1   140        8   8.00280E+01   1.96252E-01  -1.91538E-01   4.27550E-02
   1   160        9   1.00028E+02   1.75926E-01  -1.59850E-01  -7.34709E-02
   1   180       10   1.20027E+02   2.36790E-01  -1.75648E-01  -1.58799E-01
   1   200       11   1.40027E+02   2.44401E-01  -1.94638E-01  -1.47810E-01
   1   220       12   1.60027E+02   2.24926E-01  -1.96024E-01  -1.10301E-01
   1   240       13   1.80027E+02   2.13798E-01  -1.89394E-01  -9.91948E-02
   1   260       14   2.00027E+02   2.15654E-01  -1.86145E-01  -1.08889E-01
   1   280       15   2.20027E+02   2.20922E-01  -1.87344E-01  -1.17085E-01
   1   300       16   2.40027E+02   2.22200E-01  -1.89079E-01  -1.16712E-01
   1   320       17   2.60027E+02   2.20701E-01  -1.89326E-01  -1.13423E-01
   1   340       18   2.80027E+02   2.19604E-01  -1.88763E-01  -1.12225E-01
   1   360       19   3.00027E+02   2.19720E-01  -1.88440E-01  -1.12993E-01
   1   380       20   3.20027E+02   2.20188E-01  -1.88523E-01  -1.13763E-01
   1   400       21   3.40027E+02   2.20334E-01  -1.88680E-01  -1.13784E-01
   1   420       22   3.60027E+02   2.20214E-01  -1.88713E-01  -1.13498E-01
   1   440       23   3.80027E+02   2.20110E-01  -1.88666E-01  -1.13374E-01
   1   460       24   4.00027E+02   2.20113E-01  -1.88634E-01  -1.13432E-01
   1   480       25   4.20027E+02   2.20154E-01  -1.88639E-01  -1.13504E-01
   1   500       26   4.40027E+02   2.20170E-01  -1.88653E-01  -1.13510E-01
   1   520       27   4.60027E+02   2.20160E-01  -1.88657E-01  -1.13486E-01
   1   540       28   4.80027E+02   2.20151E-01  -1.88653E-01  -1.13473E-01
   1   560       29   5.00027E+02   2.20150E-01  -1.88650E-01  -1.13477E-01
   1   580       30   5.20027E+02   2.20154E-01  -1.88651E-01  -1.13484E-01
   1   600       31   5.40027E+02   2.20155E-01  -1.88652E-01  -1.13485E-01
   1   620       32   5.60027E+02   2.20155E-01  -1.88652E-01  -1.13483E-01
   1   640       33   5.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   660       34   6.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   680       35   6.20027E+02   2.20154E-01  -1.88652E-01  -1.13483E-01
   1   700       36   6.40027E+02   2.20154E-01  -1.88652E-01  -1.13483E-01
   1   720       37   6.60027E+02   2.20154E-01  -1.88652E-01  -1.13483E-01
   1   740       38   6.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   760       39   7.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   780       40   7.20027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   800       41   7.40027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   820       42   7.60027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   840       43   7.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   860       44   8.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   880       45   8.20027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   900       46   8.40027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   920       47   8.60027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   940       48   8.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   960       49   9.00027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1   980       50   9.20027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1000       51   9.40027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1020       52   9.60027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1040       53   9.80027E+02   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1060       54   1.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1080       55   1.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1100       56   1.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1120       57   1.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1140       58   1.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1160       59   1.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1180       60   1.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1200       61   1.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1220       62   1.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1240       63   1.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1260       64   1.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1280       65   1.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1300       66   1.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1320       67   1.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1340       68   1.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1360       69   1.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1380       70   1.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1400       71   1.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1420       72   1.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1440       73   1.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1460       74   1.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1480       75   1.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1500       76   1.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1520       77   1.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1540       78   1.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1560       79   1.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1580       80   1.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1600       81   1.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1620       82   1.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1640       83   1.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1660       84   1.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1680       85   1.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1700       86   1.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1720       87   1.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1740       88   1.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1760       89   1.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1780       90   1.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1800       91   1.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1820       92   1.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1840       93   1.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1860       94   1.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1880       95   1.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1900       96   1.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1920       97   1.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1940       98   1.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1960       99   1.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  1980      100   1.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2000      101   1.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2020      102   1.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2040      103   1.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2060      104   2.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2080      105   2.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2100      106   2.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2120      107   2.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2140      108   2.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2160      109   2.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2180      110   2.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2200      111   2.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2220      112   2.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2240      113   2.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2260      114   2.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2280      115   2.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2300      116   2.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2320      117   2.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2340      118   2.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2360      119   2.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2380      120   2.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2400      121   2.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2420      122   2.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2440      123   2.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2460      124   2.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2480      125   2.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2500      126   2.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2520      127   2.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2540      128   2.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2560      129   2.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2580      130   2.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2600      131   2.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2620      132   2.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2640      133   2.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2660      134   2.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2680      135   2.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2700      136   2.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2720      137   2.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2740      138   2.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  2760      139   2.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
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   1  6540      328   6.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6560      329   6.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6580      330   6.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6600      331   6.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6620      332   6.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6640      333   6.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6660      334   6.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6680      335   6.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6700      336   6.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6720      337   6.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6740      338   6.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6760      339   6.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6780      340   6.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6800      341   6.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6820      342   6.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6840      343   6.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6860      344   6.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6880      345   6.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6900      346   6.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6920      347   6.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6940      348   6.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6960      349   6.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  6980      350   6.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7000      351   6.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7020      352   6.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7040      353   6.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7060      354   7.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7080      355   7.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7100      356   7.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7120      357   7.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7140      358   7.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7160      359   7.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7180      360   7.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7200      361   7.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7220      362   7.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7240      363   7.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7260      364   7.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7280      365   7.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7300      366   7.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7320      367   7.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7340      368   7.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7360      369   7.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7380      370   7.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7400      371   7.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7420      372   7.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7440      373   7.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7460      374   7.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7480      375   7.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7500      376   7.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7520      377   7.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7540      378   7.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7560      379   7.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7580      380   7.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7600      381   7.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7620      382   7.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7640      383   7.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7660      384   7.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7680      385   7.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7700      386   7.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7720      387   7.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7740      388   7.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7760      389   7.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7780      390   7.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7800      391   7.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7820      392   7.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7840      393   7.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7860      394   7.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7880      395   7.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7900      396   7.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7920      397   7.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7940      398   7.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7960      399   7.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  7980      400   7.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8000      401   7.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8020      402   7.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8040      403   7.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8060      404   8.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8080      405   8.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8100      406   8.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8120      407   8.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8140      408   8.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8160      409   8.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8180      410   8.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8200      411   8.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8220      412   8.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8240      413   8.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8260      414   8.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8280      415   8.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8300      416   8.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8320      417   8.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8340      418   8.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8360      419   8.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8380      420   8.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8400      421   8.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8420      422   8.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8440      423   8.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8460      424   8.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8480      425   8.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8500      426   8.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8520      427   8.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8540      428   8.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8560      429   8.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8580      430   8.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8600      431   8.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8620      432   8.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8640      433   8.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8660      434   8.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8680      435   8.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8700      436   8.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8720      437   8.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8740      438   8.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8760      439   8.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8780      440   8.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8800      441   8.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8820      442   8.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8840      443   8.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8860      444   8.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8880      445   8.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8900      446   8.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8920      447   8.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8940      448   8.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8960      449   8.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  8980      450   8.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9000      451   8.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9020      452   8.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9040      453   8.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9060      454   9.00003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9080      455   9.02003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9100      456   9.04003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9120      457   9.06003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9140      458   9.08003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9160      459   9.10003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9180      460   9.12003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9200      461   9.14003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9220      462   9.16003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9240      463   9.18003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9260      464   9.20003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9280      465   9.22003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9300      466   9.24003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9320      467   9.26003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9340      468   9.28003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9360      469   9.30003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9380      470   9.32003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9400      471   9.34003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9420      472   9.36003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9440      473   9.38003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9460      474   9.40003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9480      475   9.42003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9500      476   9.44003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9520      477   9.46003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9540      478   9.48003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9560      479   9.50003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9580      480   9.52003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9600      481   9.54003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9620      482   9.56003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9640      483   9.58003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9660      484   9.60003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9680      485   9.62003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9700      486   9.64003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9720      487   9.66003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9740      488   9.68003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9760      489   9.70003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9780      490   9.72003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9800      491   9.74003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9820      492   9.76003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9840      493   9.78003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9860      494   9.80003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9880      495   9.82003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9900      496   9.84003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9920      497   9.86003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9940      498   9.88003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9960      499   9.90003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1  9980      500   9.92003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1     1      501   9.94003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1    21      502   9.96003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1    41      503   9.98003E+03   2.20154E-01  -1.88652E-01  -1.13482E-01
   1    61  UZ  504   1.00000E+04   2.20154E-01  -1.88652E-01  -1.13482E-01

 Total Time    0.203E+00
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM          V             W       
   1    10      505   3.84113E-01   4.84188E-01  -1.54099E-01  -4.59012E-01
   1    20      506   1.11508E+00   1.14127E+00  -8.61989E-02  -1.13801E+00
   1    30      507   1.83142E+00   1.83235E+00  -1.67729E-02  -1.83227E+00
   1    40      508   2.53283E+00   2.54204E+00   5.41468E-02  -2.54147E+00
   1    50      509   3.21915E+00   3.26759E+00   1.26514E-01  -3.26514E+00
   1    58  HB  510   3.74019E+00   3.83942E+00   1.83503E-01  -3.83503E+00
   1    60      511   3.87332E+00   3.98848E+00   1.98355E-01  -3.98355E+00
   1    70      512   4.53009E+00   4.74177E+00   2.73388E-01  -4.73388E+00
   1    80      513   5.17245E+00   5.50757E+00   3.49646E-01  -5.49646E+00
   1    90      514   5.80109E+00   6.28480E+00   4.27028E-01  -6.27028E+00
   1   100      515   6.41696E+00   7.07229E+00   5.05420E-01  -7.05420E+00
   1   110      516   7.02127E+00   7.86875E+00   5.84699E-01  -7.84699E+00
   1   120      517   7.61544E+00   8.67284E+00   6.64733E-01  -8.64733E+00
   1   130      518   8.20116E+00   9.48315E+00   7.45382E-01  -9.45382E+00
   1   140      519   8.78028E+00   1.02982E+01   8.26501E-01  -1.02650E+01
   1   150      520   9.35482E+00   1.11166E+01   9.07943E-01  -1.10794E+01
   1   160      521   9.92689E+00   1.19366E+01   9.89556E-01  -1.18956E+01
   1   170      522   1.04987E+01   1.27569E+01   1.07119E+00  -1.27119E+01
   1   180      523   1.10724E+01   1.35759E+01   1.15269E+00  -1.35269E+01
   1   190      524   1.16501E+01   1.43920E+01   1.23390E+00  -1.43390E+01
   1   200      525   1.22340E+01   1.52038E+01   1.31469E+00  -1.51469E+01
   1   210      526   1.28258E+01   1.60098E+01   1.39489E+00  -1.59489E+01
   1   220      527   1.34274E+01   1.68086E+01   1.47438E+00  -1.67438E+01
   1   230      528   1.40402E+01   1.75987E+01   1.55301E+00  -1.75301E+01
   1   240      529   1.46655E+01   1.83791E+01   1.63066E+00  -1.83066E+01
   1   250      530   1.53042E+01   1.91484E+01   1.70722E+00  -1.90722E+01
   1   260      531   1.59573E+01   1.99057E+01   1.78257E+00  -1.98257E+01
   1   265  HB  532   1.62598E+01   2.02466E+01   1.81650E+00  -2.01650E+01
   1   270      533   1.65952E+01   2.06174E+01   1.85339E+00  -2.05339E+01
   1   280      534   1.72774E+01   2.13485E+01   1.92615E+00  -2.12615E+01
   1   290      535   1.79747E+01   2.20653E+01   1.99747E+00  -2.19747E+01
   1   300      536   1.86870E+01   2.27671E+01   2.06731E+00  -2.26731E+01
   1   310      537   1.94140E+01   2.34537E+01   2.13563E+00  -2.33563E+01
   1   318  EP  538   2.00059E+01   2.39918E+01   2.18918E+00  -2.38918E+01

 Total Time    0.105E-01
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM        MAX V         MAX W     
 510    10      539   3.74627E+00   3.86266E+00   2.73960E-01  -3.57366E+00
 510    20      540   3.78213E+00   3.99812E+00   4.27121E-01  -3.23281E+00
 510    30      541   3.84155E+00   4.21594E+00   5.70309E-01  -3.01200E+00
 510    40      542   3.90630E+00   4.44453E+00   6.86583E-01  -2.89043E+00
 510    50      543   3.97682E+00   4.68371E+00   7.91963E-01  -2.81801E+00
 510    60      544   4.05457E+00   4.93610E+00   8.92992E-01  -2.77766E+00
 510    70      545   4.14200E+00   5.20633E+00   9.93862E-01  -2.76219E+00
 510    80      546   4.24330E+00   5.50212E+00   1.09848E+00  -2.76936E+00
 510    90      547   4.36633E+00   5.83748E+00   1.21198E+00  -2.80124E+00
 510   100      548   4.52871E+00   6.24250E+00   1.34378E+00  -2.86758E+00
 510   110      549   4.78333E+00   6.80108E+00   1.51798E+00  -3.00320E+00
 510   120      550   5.23903E+00   7.62006E+00   1.75696E+00  -3.29118E+00
 510   130      551   5.68077E+00   8.26681E+00   1.92800E+00  -3.59402E+00
 510   140      552   6.07479E+00   8.76914E+00   2.04764E+00  -3.87327E+00
 510   150      553   6.46454E+00   9.22198E+00   2.14496E+00  -4.15463E+00
 510   160      554   6.87073E+00   9.66270E+00   2.23029E+00  -4.45195E+00
 510   170      555   7.30783E+00   1.01127E+01   2.30855E+00  -4.77586E+00
 510   180      556   7.78955E+00   1.05887E+01   2.38253E+00  -5.13742E+00
 510   190      557   8.33040E+00   1.11063E+01   2.45394E+00  -5.54933E+00
 510   200      558   8.94332E+00   1.16789E+01   2.52343E+00  -6.02474E+00
 510   210      559   9.62725E+00   1.23073E+01   2.58973E+00  -6.56822E+00
 510   220      560   1.03446E+01   1.29610E+01   2.64897E+00  -7.15734E+00
 510   230      561   1.10309E+01   1.35860E+01   2.69709E+00  -7.74568E+00
 510   240      562   1.16468E+01   1.41508E+01   2.73354E+00  -8.30261E+00
 510   250      563   1.21903E+01   1.46556E+01   2.76018E+00  -8.82617E+00
 510   260      564   1.26741E+01   1.51135E+01   2.77894E+00  -9.32816E+00
 510   270      565   1.31127E+01   1.55390E+01   2.79100E+00  -9.82478E+00
 510   280      566   1.35198E+01   1.59472E+01   2.79674E+00  -1.03361E+01
 510   290      567   1.39099E+01   1.63561E+01   2.79548E+00  -1.08915E+01
 510   300      568   1.43032E+01   1.67948E+01   2.78448E+00  -1.15473E+01
 510   310      569   1.47416E+01   1.73341E+01   2.75391E+00  -1.24550E+01
 510   320      570   1.52028E+01   1.79982E+01   2.68501E+00  -1.37390E+01
 510   330      571   1.54636E+01   1.84422E+01   2.61708E+00  -1.46930E+01
 510   340      572   1.56282E+01   1.87561E+01   2.55719E+00  -1.54092E+01
 510   350      573   1.57523E+01   1.90124E+01   2.49984E+00  -1.60194E+01
 510   360      574   1.58543E+01   1.92361E+01   2.44222E+00  -1.65733E+01
 510   370      575   1.59422E+01   1.94388E+01   2.38227E+00  -1.70961E+01
 510   380      576   1.60203E+01   1.96265E+01   2.31781E+00  -1.76051E+01
 510   390      577   1.60910E+01   1.98028E+01   2.24573E+00  -1.81161E+01
 510   400      578   1.61560E+01   1.99698E+01   2.16029E+00  -1.86504E+01
 510   410      579   1.62156E+01   2.01273E+01   2.04643E+00  -1.92558E+01
 510   420      580   1.62596E+01   2.02459E+01   1.83441E+00  -2.01073E+01
 510   430      581   1.62106E+01   2.01139E+01   2.05854E+00  -1.91967E+01
 510   440      582   1.61505E+01   1.99554E+01   2.16863E+00  -1.86015E+01
 510   450      583   1.60850E+01   1.97876E+01   2.25252E+00  -1.80704E+01
 510   460      584   1.60137E+01   1.96104E+01   2.32375E+00  -1.75604E+01
 510   470      585   1.59349E+01   1.94215E+01   2.38770E+00  -1.70508E+01
 510   480      586   1.58459E+01   1.92173E+01   2.44737E+00  -1.65259E+01
 510   490      587   1.57424E+01   1.89913E+01   2.50488E+00  -1.59683E+01
 510   500      588   1.56157E+01   1.87313E+01   2.56232E+00  -1.53513E+01
 510   510      589   1.54458E+01   1.84100E+01   2.62264E+00  -1.46215E+01
 510   520      590   1.51706E+01   1.79474E+01   2.69162E+00  -1.36344E+01
 510   530      591   1.46994E+01   1.72790E+01   2.75801E+00  -1.23568E+01
 510   540      592   1.42675E+01   1.67536E+01   2.78599E+00  -1.14828E+01
 510   550      593   1.38757E+01   1.63193E+01   2.79592E+00  -1.08396E+01
 510   560      594   1.34848E+01   1.59115E+01   2.79650E+00  -1.02897E+01
 510   570      595   1.30754E+01   1.55024E+01   2.79019E+00  -9.78067E+00
 510   580      596   1.26334E+01   1.50746E+01   2.77756E+00  -9.28432E+00
 510   590      597   1.21450E+01   1.46132E+01   2.75817E+00  -8.78103E+00
 510   600      598   1.15955E+01   1.41035E+01   2.73075E+00  -8.25490E+00
 510   610      599   1.09729E+01   1.35331E+01   2.69333E+00  -7.69481E+00
 510   620      600   1.02817E+01   1.29037E+01   2.64415E+00  -7.10471E+00
 510   630      601   9.56470E+00   1.22502E+01   2.58410E+00  -6.51785E+00
 510   640      602   8.88617E+00   1.16259E+01   2.51739E+00  -5.97997E+00
 510   650      603   8.27991E+00   1.10585E+01   2.44772E+00  -5.51059E+00
 510   660      604   7.74487E+00   1.05452E+01   2.37612E+00  -5.10367E+00
 510   670      605   7.26766E+00   1.00722E+01   2.30185E+00  -4.74592E+00
 510   680      606   6.83382E+00   9.62369E+00   2.22310E+00  -4.42477E+00
 510   690      607   6.42971E+00   9.18287E+00   2.13694E+00  -4.12933E+00
 510   700      608   6.04058E+00   8.72757E+00   2.03821E+00  -3.84878E+00
 510   710      609   5.64466E+00   8.21779E+00   1.91568E+00  -3.56877E+00
 510   720      610   5.19571E+00   7.55007E+00   1.73742E+00  -3.26239E+00
 510   730      611   4.75401E+00   6.74104E+00   1.49966E+00  -2.98626E+00
 510   740      612   4.51192E+00   6.20251E+00   1.33099E+00  -2.85978E+00
 510   750      613   4.35426E+00   5.80570E+00   1.20141E+00  -2.79727E+00
 510   760      614   4.23363E+00   5.47468E+00   1.08897E+00  -2.76780E+00
 510   770      615   4.13380E+00   5.18159E+00   9.84868E-01  -2.76265E+00
 510   780      616   4.04736E+00   4.91319E+00   8.84135E-01  -2.78015E+00
 510   790      617   3.97033E+00   4.66212E+00   7.82906E-01  -2.82296E+00
 510   800      618   3.90037E+00   4.42395E+00   6.76887E-01  -2.89881E+00
 510   810      619   3.83609E+00   4.19624E+00   5.59142E-01  -3.02624E+00
 510   820      620   3.77719E+00   3.97965E+00   4.11786E-01  -3.26172E+00
 510   830  LP  621   3.74116E+00   3.84313E+00   2.19249E-01  -3.72594E+00
 510   840      622   3.79103E+00   4.03124E+00   4.52771E-01  -3.18685E+00
 510   850      623   3.85133E+00   4.25103E+00   5.89639E-01  -2.98847E+00
 510   860      624   3.91692E+00   4.48119E+00   7.03563E-01  -2.87648E+00
 510   870      625   3.98845E+00   4.72221E+00   8.07928E-01  -2.80984E+00
 510   880      626   4.06752E+00   4.97703E+00   9.08681E-01  -2.77370E+00
 510   890      627   4.15678E+00   5.25064E+00   1.00987E+00  -2.76183E+00
 510   900      628   4.26082E+00   5.55145E+00   1.11547E+00  -2.77259E+00
 510   910      629   4.38843E+00   5.89506E+00   1.23103E+00  -2.80891E+00
 510   920      630   4.56006E+00   6.31608E+00   1.36722E+00  -2.88259E+00
 510   930      631   4.84032E+00   6.91487E+00   1.55242E+00  -3.03686E+00
 510   940      632   5.31418E+00   7.73831E+00   1.78954E+00  -3.34161E+00
 510   950      633   5.74396E+00   8.35123E+00   1.94896E+00  -3.63837E+00
 510   960      634   6.13535E+00   8.84194E+00   2.06396E+00  -3.91669E+00
 510   970      635   6.52657E+00   9.29105E+00   2.15893E+00  -4.19979E+00
 510   980      636   6.93669E+00   9.73201E+00   2.24291E+00  -4.50056E+00
 510   990      637   7.37986E+00   1.01850E+01   2.32035E+00  -4.82961E+00
 510  1000      638   7.86985E+00   1.06665E+01   2.39384E+00  -5.19816E+00
 510  1010      639   8.42125E+00   1.11919E+01   2.46494E+00  -5.61919E+00
 510  1020      640   9.04601E+00   1.17738E+01   2.53407E+00  -6.10538E+00
 510  1030      641   9.73879E+00   1.24092E+01   2.59959E+00  -6.65839E+00
 510  1040      642   1.04555E+01   1.30619E+01   2.65729E+00  -7.25055E+00
 510  1050      643   1.11323E+01   1.36786E+01   2.70352E+00  -7.83516E+00
 510  1060      644   1.17364E+01   1.42334E+01   2.73829E+00  -8.38645E+00
 510  1070      645   1.22695E+01   1.47300E+01   2.76359E+00  -8.90571E+00
 510  1080      646   1.27453E+01   1.51818E+01   2.78125E+00  -9.40572E+00
 510  1090      647   1.31781E+01   1.56036E+01   2.79232E+00  -9.90317E+00
 510  1100      648   1.35816E+01   1.60106E+01   2.79704E+00  -1.04190E+01
 510  1110      649   1.39705E+01   1.64216E+01   2.79452E+00  -1.09853E+01
 510  1120      650   1.43671E+01   1.68695E+01   2.78144E+00  -1.16662E+01
 510  1130      651   1.48185E+01   1.74365E+01   2.74567E+00  -1.26411E+01
 510  1140      652   1.52551E+01   1.80826E+01   2.67351E+00  -1.39148E+01
 510  1150      653   1.54934E+01   1.84970E+01   2.60738E+00  -1.48156E+01
 510  1160      654   1.56496E+01   1.87991E+01   2.54814E+00  -1.55099E+01
 510  1170      655   1.57695E+01   1.90491E+01   2.49090E+00  -1.61089E+01
 510  1180      656   1.58688E+01   1.92690E+01   2.43305E+00  -1.66566E+01
 510  1190      657   1.59550E+01   1.94690E+01   2.37255E+00  -1.71763E+01
 510  1200      658   1.60318E+01   1.96547E+01   2.30714E+00  -1.76845E+01
 510  1210      659   1.61016E+01   1.98295E+01   2.23347E+00  -1.81974E+01
 510  1220      660   1.61657E+01   1.99951E+01   2.14502E+00  -1.87384E+01
 510  1230      661   1.62244E+01   2.01508E+01   2.02335E+00  -1.93649E+01
 510  1240      662   1.62547E+01   2.02327E+01   1.89712E+00  -1.98890E+01
 510  1250      663   1.62016E+01   2.00898E+01   2.07871E+00  -1.90957E+01
 510  1260      664   1.61406E+01   1.99297E+01   2.18296E+00  -1.85158E+01
 510  1270      665   1.60743E+01   1.97606E+01   2.26431E+00  -1.79899E+01
 510  1280      666   1.60019E+01   1.95817E+01   2.33414E+00  -1.74811E+01
 510  1290      667   1.59217E+01   1.93907E+01   2.39726E+00  -1.69701E+01
 510  1300      668   1.58309E+01   1.91836E+01   2.45645E+00  -1.64414E+01
 510  1310      669   1.57245E+01   1.89533E+01   2.51381E+00  -1.58766E+01
 510  1320      670   1.55928E+01   1.86861E+01   2.57146E+00  -1.52467E+01
 510  1330      671   1.54126E+01   1.83505E+01   2.63265E+00  -1.44903E+01
 510  1340      672   1.51080E+01   1.78506E+01   2.70357E+00  -1.34381E+01
 510  1350      673   1.46264E+01   1.71856E+01   2.76442E+00  -1.21932E+01
 510  1360      674   1.42050E+01   1.66821E+01   2.78838E+00  -1.13723E+01
 510  1370      675   1.38151E+01   1.62547E+01   2.79653E+00  -1.07492E+01
 510  1380      676   1.34224E+01   1.58481E+01   2.79594E+00  -1.02083E+01
 510  1390      677   1.30088E+01   1.54371E+01   2.78864E+00  -9.70276E+00
 510  1400      678   1.25604E+01   1.50050E+01   2.77500E+00  -9.20649E+00
 510  1410      679   1.20634E+01   1.45370E+01   2.75445E+00  -8.70062E+00
 510  1420      680   1.15032E+01   1.40185E+01   2.72561E+00  -8.16969E+00
 510  1430      681   1.08688E+01   1.34381E+01   2.68643E+00  -7.60403E+00
 510  1440      682   1.01696E+01   1.28017E+01   2.63539E+00  -7.01146E+00
 510  1450      683   9.45463E+00   1.21494E+01   2.57398E+00  -6.42957E+00
 510  1460      684   8.78631E+00   1.15333E+01   2.50663E+00  -5.90199E+00
 510  1470      685   8.19181E+00   1.09750E+01   2.43665E+00  -5.44315E+00
 510  1480      686   7.66679E+00   1.04690E+01   2.36472E+00  -5.04482E+00
 510  1490      687   7.19729E+00   1.00008E+01   2.28988E+00  -4.69356E+00
 510  1500      688   6.76900E+00   9.55470E+00   2.21021E+00  -4.37712E+00
 510  1510      689   6.36828E+00   9.11331E+00   2.12251E+00  -4.08475E+00
 510  1520      690   5.97985E+00   8.65291E+00   2.02105E+00  -3.80544E+00
 510  1530      691   5.57969E+00   8.12809E+00   1.89286E+00  -3.52353E+00
 510  1540      692   5.11725E+00   7.41959E+00   1.70051E+00  -3.21084E+00
 510  1550      693   4.70620E+00   6.64089E+00   1.46888E+00  -2.95925E+00
 510  1560      694   4.48359E+00   6.13406E+00   1.30898E+00  -2.84706E+00
 510  1570      695   4.33353E+00   5.75058E+00   1.18300E+00  -2.79083E+00
 510  1580      696   4.21690E+00   5.42678E+00   1.07229E+00  -2.76549E+00
 510  1590      697   4.11953E+00   5.13821E+00   9.68993E-01  -2.76387E+00
 510  1600      698   4.03477E+00   4.87291E+00   8.68431E-01  -2.78505E+00
 510  1610      699   3.95897E+00   4.62410E+00   7.66767E-01  -2.83234E+00
 510  1620      700   3.88996E+00   4.38768E+00   6.59491E-01  -2.91461E+00
 510  1630      701   3.82650E+00   4.16152E+00   5.38841E-01  -3.05334E+00
 510  1640      702   3.76861E+00   3.94743E+00   3.82673E-01  -3.31965E+00
 510  1650      703   3.74309E+00   3.85052E+00   2.45679E-01  -3.65021E+00
 510  1660      704   3.79139E+00   4.03257E+00   4.53755E-01  -3.18515E+00
 510  1670      705   3.85172E+00   4.25243E+00   5.90397E-01  -2.98758E+00
 510  1680      706   3.91734E+00   4.48265E+00   7.04233E-01  -2.87595E+00
 510  1690      707   3.98892E+00   4.72375E+00   8.08561E-01  -2.80953E+00
 510  1700      708   4.06804E+00   4.97867E+00   9.09304E-01  -2.77356E+00
 510  1710      709   4.15738E+00   5.25241E+00   1.01051E+00  -2.76182E+00
 510  1720      710   4.26153E+00   5.55343E+00   1.11615E+00  -2.77273E+00
 510  1730      711   4.38933E+00   5.89738E+00   1.23180E+00  -2.80924E+00
 510  1740      712   4.56135E+00   6.31909E+00   1.36817E+00  -2.88322E+00
 510  1750      713   4.84272E+00   6.91959E+00   1.55384E+00  -3.03830E+00
 510  1760      714   5.31711E+00   7.74285E+00   1.79078E+00  -3.34358E+00
 510  1770      715   5.74646E+00   8.35453E+00   1.94977E+00  -3.64013E+00
 510  1780      716   6.13776E+00   8.84481E+00   2.06460E+00  -3.91842E+00
 510  1790      717   6.52905E+00   9.29379E+00   2.15948E+00  -4.20160E+00
 510  1800      718   6.93933E+00   9.73477E+00   2.24341E+00  -4.50252E+00
 510  1810      719   7.38274E+00   1.01879E+01   2.32081E+00  -4.83177E+00
 510  1820      720   7.87307E+00   1.06696E+01   2.39428E+00  -5.20060E+00
 510  1830      721   8.42489E+00   1.11954E+01   2.46537E+00  -5.62199E+00
 510  1840      722   9.05013E+00   1.17776E+01   2.53450E+00  -6.10862E+00
 510  1850      723   9.74324E+00   1.24133E+01   2.59998E+00  -6.66201E+00
 510  1860      724   1.04599E+01   1.30659E+01   2.65761E+00  -7.25425E+00
 510  1870      725   1.11362E+01   1.36822E+01   2.70377E+00  -7.83869E+00
 510  1880      726   1.17399E+01   1.42367E+01   2.73848E+00  -8.38978E+00
 510  1890      727   1.22727E+01   1.47329E+01   2.76373E+00  -8.90886E+00
 510  1900      728   1.27481E+01   1.51845E+01   2.78133E+00  -9.40880E+00
 510  1910      729   1.31807E+01   1.56061E+01   2.79237E+00  -9.90628E+00
 510  1920      730   1.35840E+01   1.60131E+01   2.79705E+00  -1.04224E+01
 510  1930      731   1.39729E+01   1.64243E+01   2.79448E+00  -1.09891E+01
 510  1940      732   1.43697E+01   1.68726E+01   2.78131E+00  -1.16710E+01
 510  1950      733   1.48217E+01   1.74407E+01   2.74532E+00  -1.26488E+01
 510  1960      734   1.52571E+01   1.80858E+01   2.67306E+00  -1.39215E+01
 510  1970      735   1.54945E+01   1.84991E+01   2.60700E+00  -1.48204E+01
 510  1980      736   1.56504E+01   1.88007E+01   2.54778E+00  -1.55138E+01
 510  1990      737   1.57701E+01   1.90506E+01   2.49054E+00  -1.61125E+01
 510  2000  EP  738   1.58694E+01   1.92703E+01   2.43268E+00  -1.66599E+01

 Total Time    0.282E+02
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM        MAX V         MAX W     
 532    10      539   1.62507E+01   2.02218E+01   1.92356E+00  -1.97889E+01
 532    20      540   1.62044E+01   2.00972E+01   2.07268E+00  -1.91263E+01
 532    30      541   1.61436E+01   1.99376E+01   2.17862E+00  -1.85420E+01
 532    40      542   1.60776E+01   1.97689E+01   2.26072E+00  -1.80146E+01
 532    50      543   1.60055E+01   1.95905E+01   2.33097E+00  -1.75054E+01
 532    60      544   1.59258E+01   1.94002E+01   2.39434E+00  -1.69949E+01
 532    70      545   1.58355E+01   1.91940E+01   2.45367E+00  -1.64674E+01
 532    80      546   1.57300E+01   1.89650E+01   2.51107E+00  -1.59049E+01
 532    90      547   1.55999E+01   1.87001E+01   2.56865E+00  -1.52791E+01
 532   100      548   1.54231E+01   1.83691E+01   2.62955E+00  -1.45312E+01
 532   110      549   1.51280E+01   1.78812E+01   2.69989E+00  -1.34997E+01
 532   120      550   1.46485E+01   1.72137E+01   2.76256E+00  -1.22420E+01
 532   130      551   1.42241E+01   1.67038E+01   2.78768E+00  -1.14057E+01
 532   140      552   1.38337E+01   1.62745E+01   2.79637E+00  -1.07767E+01
 532   150      553   1.34416E+01   1.58675E+01   2.79613E+00  -1.02332E+01
 532   160      554   1.30293E+01   1.54572E+01   2.78913E+00  -9.72664E+00
 532   170      555   1.25830E+01   1.50264E+01   2.77580E+00  -9.23040E+00
 532   180      556   1.20886E+01   1.45605E+01   2.75561E+00  -8.72536E+00
 532   190      557   1.15317E+01   1.40448E+01   2.72721E+00  -8.19594E+00
 532   200      558   1.09009E+01   1.34674E+01   2.68858E+00  -7.63196E+00
 532   210      559   1.02040E+01   1.28331E+01   2.63811E+00  -7.04005E+00
 532   220      560   9.48829E+00   1.21802E+01   2.57710E+00  -6.45652E+00
 532   230      561   8.81676E+00   1.15615E+01   2.50994E+00  -5.92574E+00
 532   240      562   8.21866E+00   1.10005E+01   2.44005E+00  -5.46369E+00
 532   250      563   7.69060E+00   1.04923E+01   2.36822E+00  -5.06275E+00
 532   260      564   7.21878E+00   1.00226E+01   2.29357E+00  -4.70954E+00
 532   270      565   6.78882E+00   9.57585E+00   2.21418E+00  -4.39169E+00
 532   280      566   6.38709E+00   9.13470E+00   2.12697E+00  -4.09839E+00
 532   290      567   5.99851E+00   8.67597E+00   2.02638E+00  -3.81873E+00
 532   300      568   5.59977E+00   8.15603E+00   1.90001E+00  -3.53749E+00
 532   310      569   5.14145E+00   7.46036E+00   1.71211E+00  -3.22665E+00
 532   320      570   4.72033E+00   6.67079E+00   1.47809E+00  -2.96716E+00
 532   330      571   4.49210E+00   6.15475E+00   1.31565E+00  -2.85082E+00
 532   340      572   4.33981E+00   5.76734E+00   1.18861E+00  -2.79272E+00
 532   350      573   4.22198E+00   5.44139E+00   1.07739E+00  -2.76614E+00
 532   360      574   4.12388E+00   5.15146E+00   9.73855E-01  -2.76343E+00
 532   370      575   4.03861E+00   4.88523E+00   8.73252E-01  -2.78348E+00
 532   380      576   3.96244E+00   4.63573E+00   7.71733E-01  -2.82938E+00
 532   390      577   3.89314E+00   4.39878E+00   6.64861E-01  -2.90962E+00
 532   400      578   3.82943E+00   4.17215E+00   5.45145E-01  -3.04475E+00
 532   410      579   3.77122E+00   3.95723E+00   3.91906E-01  -3.30084E+00
 532   420      580   3.74878E+00   3.87225E+00   2.91355E-01  -3.52881E+00
 532   430      581   3.80309E+00   4.07585E+00   4.84433E-01  -3.13412E+00
 532   440      582   3.86450E+00   4.29798E+00   6.14518E-01  -2.96019E+00
 532   450      583   3.93124E+00   4.53025E+00   7.25760E-01  -2.85961E+00
 532   460      584   4.00418E+00   4.77383E+00   8.28988E-01  -2.80012E+00
 532   470      585   4.08510E+00   5.03206E+00   9.29520E-01  -2.76936E+00
 532   480      586   4.17696E+00   5.31046E+00   1.03127E+00  -2.76218E+00
 532   490      587   4.28494E+00   5.61851E+00   1.13840E+00  -2.77782E+00
 532   500      588   4.41935E+00   5.97427E+00   1.25707E+00  -2.82045E+00
 532   510      589   4.60539E+00   6.41996E+00   1.40004E+00  -2.90528E+00
 532   520      590   4.92674E+00   7.08053E+00   1.60190E+00  -3.08953E+00
 532   530      591   5.40984E+00   7.88344E+00   1.82877E+00  -3.40655E+00
 532   540      592   5.82658E+00   8.45917E+00   1.97526E+00  -3.69662E+00
 532   550      593   6.21579E+00   8.93711E+00   2.08491E+00  -3.97455E+00
 532   560      594   6.60964E+00   9.38246E+00   2.17707E+00  -4.26040E+00
 532   570      595   7.02550E+00   9.82446E+00   2.25942E+00  -4.56619E+00
 532   580      596   7.47723E+00   1.02821E+01   2.33586E+00  -4.90245E+00
 532   590      597   7.97875E+00   1.07714E+01   2.40876E+00  -5.28077E+00
 532   600      598   8.54464E+00   1.13078E+01   2.47947E+00  -5.71440E+00
 532   610      599   9.18498E+00   1.19019E+01   2.54807E+00  -6.21504E+00
 532   620      600   9.88777E+00   1.25451E+01   2.61237E+00  -6.77961E+00
 532   630      601   1.06010E+01   1.31943E+01   2.66788E+00  -7.37385E+00
 532   640      602   1.12639E+01   1.37990E+01   2.71162E+00  -7.95257E+00
 532   650      603   1.18525E+01   1.43409E+01   2.74425E+00  -8.49652E+00
 532   660      604   1.23725E+01   1.48269E+01   2.76784E+00  -9.01055E+00
 532   670      605   1.28382E+01   1.52713E+01   2.78406E+00  -9.50856E+00
 532   680      606   1.32638E+01   1.56887E+01   2.79383E+00  -1.00079E+01
 532   690      607   1.36629E+01   1.60948E+01   2.79718E+00  -1.05310E+01
 532   700      608   1.40512E+01   1.65100E+01   2.79287E+00  -1.11139E+01
 532   710      609   1.44540E+01   1.69730E+01   2.77664E+00  -1.18341E+01
 532   720      610   1.49230E+01   1.75803E+01   2.73268E+00  -1.29098E+01
 532   730      611   1.53163E+01   1.81841E+01   2.65882E+00  -1.41297E+01
 532   740      612   1.55302E+01   1.85659E+01   2.59474E+00  -1.49712E+01
 532   750      613   1.56767E+01   1.88542E+01   2.53620E+00  -1.56401E+01
 532   760      614   1.57915E+01   1.90968E+01   2.47901E+00  -1.62259E+01
 532   770      615   1.58876E+01   1.93119E+01   2.42077E+00  -1.67661E+01
 532   780      616   1.59716E+01   1.95086E+01   2.35947E+00  -1.72822E+01
 532   790      617   1.60468E+01   1.96918E+01   2.29268E+00  -1.77899E+01
 532   800      618   1.61153E+01   1.98646E+01   2.21665E+00  -1.83063E+01
 532   810      619   1.61783E+01   2.00283E+01   2.12362E+00  -1.88581E+01
 532   820      620   1.62357E+01   2.01811E+01   1.98853E+00  -1.95215E+01
 532   828  BP  621   1.62578E+01   2.02413E+01   1.86668E+00  -1.99982E+01
 532   830      622   1.62499E+01   2.02197E+01   1.92798E+00  -1.97717E+01
 532   840      623   1.61952E+01   2.00729E+01   2.09188E+00  -1.90279E+01
 532   850      624   1.61337E+01   1.99118E+01   2.19259E+00  -1.84570E+01
 532   860      625   1.60668E+01   1.97416E+01   2.27234E+00  -1.79343E+01
 532   870      626   1.59936E+01   1.95616E+01   2.34126E+00  -1.74260E+01
 532   880      627   1.59124E+01   1.93691E+01   2.40384E+00  -1.69138E+01
 532   890      628   1.58202E+01   1.91599E+01   2.46273E+00  -1.63822E+01
 532   900      629   1.57116E+01   1.89264E+01   2.52001E+00  -1.58121E+01
 532   910      630   1.55762E+01   1.86539E+01   2.57786E+00  -1.51723E+01
 532   920      631   1.53879E+01   1.83071E+01   2.63973E+00  -1.43952E+01
 532   930      632   1.50603E+01   1.77789E+01   2.71191E+00  -1.32949E+01
 532   940      633   1.45772E+01   1.71239E+01   2.76830E+00  -1.20870E+01
 532   950      634   1.41620E+01   1.66335E+01   2.78982E+00  -1.12982E+01
 532   960      635   1.37730E+01   1.62102E+01   2.79683E+00  -1.06876E+01
 532   970      636   1.33788E+01   1.58040E+01   2.79545E+00  -1.01522E+01
 532   980      637   1.29620E+01   1.53914E+01   2.78746E+00  -9.64881E+00
 532   990      638   1.25091E+01   1.49562E+01   2.77312E+00  -9.15234E+00
 532  1000      639   1.20059E+01   1.44834E+01   2.75175E+00  -8.64443E+00
 532  1010      640   1.14380E+01   1.39586E+01   2.72189E+00  -8.11003E+00
 532  1020      641   1.07955E+01   1.33713E+01   2.68148E+00  -7.54058E+00
 532  1030      642   1.00915E+01   1.27306E+01   2.62916E+00  -6.94686E+00
 532  1040      643   9.37895E+00   1.20801E+01   2.56687E+00  -6.36911E+00
 532  1050      644   8.71810E+00   1.14698E+01   2.49913E+00  -5.84890E+00
 532  1060      645   8.13167E+00   1.09177E+01   2.42895E+00  -5.39720E+00
 532  1070      646   7.61339E+00   1.04166E+01   2.35676E+00  -5.00465E+00
 532  1080      647   7.14904E+00   9.95159E+00   2.28151E+00  -4.65773E+00
 532  1090      648   6.72440E+00   9.50689E+00   2.20115E+00  -4.34442E+00
 532  1100      649   6.32583E+00   9.06478E+00   2.11231E+00  -4.05402E+00
 532  1110      650   5.93757E+00   8.60026E+00   2.00878E+00  -3.77532E+00
 532  1120      651   5.53373E+00   8.06341E+00   1.87617E+00  -3.49170E+00
 532  1130      652   5.06257E+00   7.32567E+00   1.67358E+00  -3.17539E+00
 532  1140      653   4.67583E+00   6.57575E+00   1.44872E+00  -2.94254E+00
 532  1150      654   4.46489E+00   6.08821E+00   1.29417E+00  -2.83898E+00
 532  1160      655   4.31961E+00   5.71314E+00   1.17043E+00  -2.78679E+00
 532  1170      656   4.20555E+00   5.39402E+00   1.06082E+00  -2.76422E+00
 532  1180      657   4.10980E+00   5.10844E+00   9.58012E-01  -2.76504E+00
 532  1190      658   4.02615E+00   4.84519E+00   8.57515E-01  -2.78883E+00
 532  1200      659   3.95118E+00   4.59788E+00   7.55490E-01  -2.83935E+00
 532  1210      660   3.88282E+00   4.36265E+00   6.47238E-01  -2.92634E+00
 532  1220      661   3.81992E+00   4.13758E+00   5.24316E-01  -3.07373E+00
 532  1230      662   3.76282E+00   3.92558E+00   3.60611E-01  -3.36628E+00
 532  1240      663   3.75631E+00   3.90091E+00   3.32288E-01  -3.42972E+00
 532  1250      664   3.81235E+00   4.10990E+00   5.06907E-01  -3.09929E+00
 532  1260      665   3.87459E+00   4.33368E+00   6.32781E-01  -2.94084E+00
 532  1270      666   3.94221E+00   4.56757E+00   7.42282E-01  -2.84802E+00
 532  1280      667   4.01626E+00   4.81318E+00   8.44799E-01  -2.79360E+00
 532  1290      668   4.09866E+00   5.07413E+00   9.45273E-01  -2.76674E+00
 532  1300      669   4.19262E+00   5.35641E+00   1.04757E+00  -2.76308E+00
 532  1310      670   4.30386E+00   5.67040E+00   1.15600E+00  -2.78251E+00
 532  1320      671   4.44402E+00   6.03641E+00   1.27735E+00  -2.83028E+00
 532  1330      672   4.64296E+00   6.50388E+00   1.42634E+00  -2.92488E+00
 532  1340      673   4.99977E+00   7.21452E+00   1.64132E+00  -3.13527E+00
 532  1350      674   5.47922E+00   7.98527E+00   1.85576E+00  -3.45410E+00
 532  1360      675   5.88819E+00   8.53802E+00   1.99411E+00  -3.74024E+00
 532  1370      676   6.27661E+00   9.00803E+00   2.10022E+00  -4.01844E+00
 532  1380      677   6.67292E+00   9.45133E+00   2.19049E+00  -4.30668E+00
 532  1390      678   7.09351E+00   9.89465E+00   2.27170E+00  -4.61654E+00
 532  1400      679   7.55208E+00   1.03562E+01   2.34746E+00  -4.95858E+00
 532  1410      680   8.06273E+00   1.08519E+01   2.41995E+00  -5.34465E+00
 532  1420      681   8.63989E+00   1.13969E+01   2.49037E+00  -5.78814E+00
 532  1430      682   9.29172E+00   1.20000E+01   2.55852E+00  -6.29967E+00
 532  1440      683   1.00005E+01   1.26478E+01   2.62176E+00  -6.87193E+00
 532  1450      684   1.07093E+01   1.32928E+01   2.67552E+00  -7.46636E+00
 532  1460      685   1.13610E+01   1.38880E+01   2.71742E+00  -8.04008E+00
 532  1470      686   1.19381E+01   1.44203E+01   2.74849E+00  -8.57867E+00
 532  1480      687   1.24486E+01   1.48989E+01   2.77083E+00  -9.08917E+00
 532  1490      688   1.29071E+01   1.53380E+01   2.78601E+00  -9.58615E+00
 532  1500      689   1.33277E+01   1.57526E+01   2.79479E+00  -1.00875E+01
 532  1510      690   1.37240E+01   1.61585E+01   2.79706E+00  -1.06171E+01
 532  1520      691   1.41124E+01   1.65778E+01   2.79130E+00  -1.12145E+01
 532  1530      692   1.45214E+01   1.70549E+01   2.77231E+00  -1.19702E+01
 532  1540      693   1.50005E+01   1.76910E+01   2.72151E+00  -1.31225E+01
 532  1550      694   1.53574E+01   1.82541E+01   2.64814E+00  -1.42801E+01
 532  1560      695   1.55562E+01   1.86153E+01   2.58535E+00  -1.50839E+01
 532  1570      696   1.56963E+01   1.88946E+01   2.52723E+00  -1.57360E+01
 532  1580      697   1.58075E+01   1.91320E+01   2.47002E+00  -1.63128E+01
 532  1590      698   1.59015E+01   1.93437E+01   2.41143E+00  -1.68481E+01
 532  1600      699   1.59839E+01   1.95380E+01   2.34944E+00  -1.73618E+01
 532  1610      700   1.60579E+01   1.97195E+01   2.28151E+00  -1.78697E+01
 532  1620      701   1.61255E+01   1.98908E+01   2.20351E+00  -1.83894E+01
 532  1630      702   1.61877E+01   2.00531E+01   2.10647E+00  -1.89509E+01
 532  1640      703   1.62438E+01   2.02030E+01   1.95761E+00  -1.96526E+01
 532  1650      704   1.62371E+01   2.01850E+01   1.98345E+00  -1.95435E+01
 532  1660      705   1.61800E+01   2.00327E+01   2.12069E+00  -1.88741E+01
 532  1670      706   1.61171E+01   1.98692E+01   2.21438E+00  -1.83207E+01
 532  1680      707   1.60487E+01   1.96967E+01   2.29074E+00  -1.78039E+01
 532  1690      708   1.59737E+01   1.95137E+01   2.35772E+00  -1.72961E+01
 532  1700      709   1.58901E+01   1.93175E+01   2.41915E+00  -1.67805E+01
 532  1710      710   1.57943E+01   1.91030E+01   2.47744E+00  -1.62411E+01
 532  1720      711   1.56802E+01   1.88614E+01   2.53463E+00  -1.56570E+01
 532  1730      712   1.55349E+01   1.85747E+01   2.59309E+00  -1.49912E+01
 532  1740      713   1.53238E+01   1.81968E+01   2.65693E+00  -1.41568E+01
 532  1750      714   1.49371E+01   1.76003E+01   2.73074E+00  -1.29477E+01
 532  1760      715   1.44657E+01   1.69870E+01   2.77593E+00  -1.18573E+01
 532  1770      716   1.40619E+01   1.65218E+01   2.79262E+00  -1.11312E+01
 532  1780      717   1.36736E+01   1.61059E+01   2.79717E+00  -1.05459E+01
 532  1790      718   1.32750E+01   1.56999E+01   2.79401E+00  -1.00218E+01
 532  1800      719   1.28503E+01   1.52830E+01   2.78442E+00  -9.52211E+00
 532  1810      720   1.23859E+01   1.48396E+01   2.76837E+00  -9.02432E+00
 532  1820      721   1.18675E+01   1.43549E+01   2.74501E+00  -8.51094E+00
 532  1830      722   1.12810E+01   1.38147E+01   2.71266E+00  -7.96794E+00
 532  1840      723   1.06201E+01   1.32116E+01   2.66924E+00  -7.39008E+00
 532  1850      724   9.90749E+00   1.25630E+01   2.61403E+00  -6.79572E+00
 532  1860      725   9.20355E+00   1.19190E+01   2.54991E+00  -6.22973E+00
 532  1870      726   8.56116E+00   1.13233E+01   2.48138E+00  -5.72716E+00
 532  1880      727   7.99331E+00   1.07854E+01   2.41072E+00  -5.29183E+00
 532  1890      728   7.49022E+00   1.02950E+01   2.33789E+00  -4.91219E+00
 532  1900      729   7.03732E+00   9.83670E+00   2.26157E+00  -4.57492E+00
 532  1910      730   6.62065E+00   9.39450E+00   2.17944E+00  -4.26845E+00
 532  1920      731   6.22640E+00   8.94956E+00   2.08761E+00  -3.98221E+00
 532  1930      732   5.83738E+00   8.47310E+00   1.97861E+00  -3.70426E+00
 532  1940      733   5.42217E+00   7.90174E+00   1.83365E+00  -3.41496E+00
 532  1950      734   4.93939E+00   7.10413E+00   1.60888E+00  -3.09737E+00
 532  1960      735   4.61174E+00   6.43428E+00   1.40454E+00  -2.90855E+00
 532  1970      736   4.42357E+00   5.98498E+00   1.26057E+00  -2.82210E+00
 532  1980      737   4.28820E+00   5.62749E+00   1.14146E+00  -2.77860E+00
 532  1990      738   4.17966E+00   5.31844E+00   1.03411E+00  -2.76230E+00
 532  2000  EP  739   4.08745E+00   5.03937E+00   9.32271E-01  -2.76886E+00

 Total Time    0.223E+02
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM          V             W             b       
 510    10      539   3.85742E+00   3.95652E+00   1.83503E-01  -3.95226E+00  -1.06388E+01
 510    20      540   4.03504E+00   4.13396E+00   1.83503E-01  -4.12988E+00  -1.16068E+01
 510    30      541   4.21266E+00   4.31141E+00   1.83503E-01  -4.30750E+00  -1.25747E+01
 510    40      542   4.39028E+00   4.48887E+00   1.83503E-01  -4.48512E+00  -1.35427E+01
 510    50      543   4.56790E+00   4.66635E+00   1.83503E-01  -4.66274E+00  -1.45106E+01
 510    60      544   4.74552E+00   4.84384E+00   1.83503E-01  -4.84036E+00  -1.54785E+01
 510    70      545   4.92314E+00   5.02134E+00   1.83503E-01  -5.01798E+00  -1.64465E+01
 510    80      546   5.10076E+00   5.19884E+00   1.83503E-01  -5.19560E+00  -1.74144E+01
 510    90      547   5.27838E+00   5.37635E+00   1.83503E-01  -5.37322E+00  -1.83823E+01
 510   100      548   5.45600E+00   5.55387E+00   1.83503E-01  -5.55084E+00  -1.93503E+01
 510   110      549   5.63362E+00   5.73140E+00   1.83503E-01  -5.72846E+00  -2.03182E+01
 510   120      550   5.81124E+00   5.90893E+00   1.83503E-01  -5.90608E+00  -2.12861E+01
 510   130      551   5.98886E+00   6.08647E+00   1.83503E-01  -6.08370E+00  -2.22541E+01
 510   140      552   6.16648E+00   6.26401E+00   1.83503E-01  -6.26132E+00  -2.32220E+01
 510   150      553   6.34410E+00   6.44155E+00   1.83503E-01  -6.43894E+00  -2.41900E+01
 510   160      554   6.52172E+00   6.61910E+00   1.83503E-01  -6.61656E+00  -2.51579E+01
 510   170      555   6.69934E+00   6.79666E+00   1.83503E-01  -6.79418E+00  -2.61258E+01
 510   180      556   6.87696E+00   6.97421E+00   1.83503E-01  -6.97180E+00  -2.70938E+01
 510   190      557   7.05458E+00   7.15177E+00   1.83503E-01  -7.14942E+00  -2.80617E+01
 510   200      558   7.23220E+00   7.32934E+00   1.83503E-01  -7.32704E+00  -2.90296E+01
 510   210      559   7.40982E+00   7.50690E+00   1.83503E-01  -7.50466E+00  -2.99976E+01
 510   220      560   7.58744E+00   7.68447E+00   1.83503E-01  -7.68228E+00  -3.09655E+01
 510   230      561   7.76506E+00   7.86204E+00   1.83503E-01  -7.85990E+00  -3.19335E+01
 510   240      562   7.94268E+00   8.03961E+00   1.83503E-01  -8.03752E+00  -3.29014E+01
 510   250      563   8.12030E+00   8.21719E+00   1.83503E-01  -8.21514E+00  -3.38693E+01
 510   260      564   8.29792E+00   8.39476E+00   1.83503E-01  -8.39276E+00  -3.48373E+01
 510   270      565   8.47554E+00   8.57234E+00   1.83503E-01  -8.57038E+00  -3.58052E+01
 510   280      566   8.65316E+00   8.74992E+00   1.83503E-01  -8.74800E+00  -3.67731E+01
 510   290      567   8.83078E+00   8.92750E+00   1.83503E-01  -8.92562E+00  -3.77411E+01
 510   300      568   9.00840E+00   9.10509E+00   1.83503E-01  -9.10324E+00  -3.87090E+01
 510   310      569   9.18602E+00   9.28267E+00   1.83503E-01  -9.28086E+00  -3.96770E+01
 510   320      570   9.36364E+00   9.46026E+00   1.83503E-01  -9.45848E+00  -4.06449E+01
 510   330      571   9.54126E+00   9.63784E+00   1.83503E-01  -9.63610E+00  -4.16128E+01
 510   340      572   9.71888E+00   9.81543E+00   1.83503E-01  -9.81372E+00  -4.25808E+01
 510   350      573   9.89649E+00   9.99302E+00   1.83503E-01  -9.99134E+00  -4.35487E+01
 510   360      574   1.00741E+01   1.01706E+01   1.83503E-01  -1.01690E+01  -4.45166E+01
 510   370      575   1.02517E+01   1.03482E+01   1.83503E-01  -1.03466E+01  -4.54846E+01
 510   380      576   1.04294E+01   1.05258E+01   1.83503E-01  -1.05242E+01  -4.64525E+01
 510   390      577   1.06070E+01   1.07034E+01   1.83503E-01  -1.07018E+01  -4.74205E+01
 510   400      578   1.07846E+01   1.08810E+01   1.83503E-01  -1.08794E+01  -4.83884E+01
 510   410      579   1.09622E+01   1.10586E+01   1.83503E-01  -1.10571E+01  -4.93563E+01
 510   420      580   1.11398E+01   1.12362E+01   1.83503E-01  -1.12347E+01  -5.03243E+01
 510   430      581   1.13175E+01   1.14138E+01   1.83503E-01  -1.14123E+01  -5.12922E+01
 510   440      582   1.14951E+01   1.15914E+01   1.83503E-01  -1.15899E+01  -5.22601E+01
 510   450      583   1.16727E+01   1.17690E+01   1.83503E-01  -1.17675E+01  -5.32281E+01
 510   460      584   1.18503E+01   1.19466E+01   1.83503E-01  -1.19452E+01  -5.41960E+01
 510   470      585   1.20279E+01   1.21242E+01   1.83503E-01  -1.21228E+01  -5.51640E+01
 510   480      586   1.22056E+01   1.23018E+01   1.83503E-01  -1.23004E+01  -5.61319E+01
 510   490      587   1.23832E+01   1.24794E+01   1.83503E-01  -1.24780E+01  -5.70998E+01
 510   500  EP  588   1.25608E+01   1.26570E+01   1.83503E-01  -1.26556E+01  -5.80678E+01

 Total Time    0.343E-01
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM          V             W             b       
 510    10      539   3.62296E+00   3.72233E+00   1.83503E-01  -3.71781E+00  -9.36116E+00
 510    20      540   3.44534E+00   3.54494E+00   1.83503E-01  -3.54019E+00  -8.39322E+00
 510    30      541   3.26772E+00   3.36757E+00   1.83503E-01  -3.36257E+00  -7.42529E+00
 510    40      542   3.09010E+00   3.19023E+00   1.83503E-01  -3.18495E+00  -6.45735E+00
 510    50      543   2.91248E+00   3.01292E+00   1.83503E-01  -3.00733E+00  -5.48941E+00
 510    60      544   2.73486E+00   2.83565E+00   1.83503E-01  -2.82971E+00  -4.52148E+00
 510    70      545   2.55725E+00   2.65843E+00   1.83503E-01  -2.65209E+00  -3.55354E+00
 510    80      546   2.37963E+00   2.48126E+00   1.83503E-01  -2.47447E+00  -2.58560E+00
 510    90      547   2.20201E+00   2.30417E+00   1.83503E-01  -2.29685E+00  -1.61766E+00
 510    97  BT  548   2.08866E+00   2.19120E+00   1.83503E-01  -2.18350E+00  -1.00000E+00

 Total Time    0.388E-02
tvbo_bif ... done
Merge done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM          V             W             b       
 532    10      539   1.66947E+01   2.06798E+01   1.81650E+00  -2.05999E+01  -1.02394E+01
 532    20      540   1.73537E+01   2.13363E+01   1.81650E+00  -2.12588E+01  -1.06022E+01
 532    30      541   1.80126E+01   2.19929E+01   1.81650E+00  -2.19178E+01  -1.09649E+01
 532    40      542   1.86715E+01   2.26497E+01   1.81650E+00  -2.25767E+01  -1.13277E+01
 532    50      543   1.93305E+01   2.33065E+01   1.81650E+00  -2.32356E+01  -1.16904E+01
 532    60      544   1.99894E+01   2.39635E+01   1.81650E+00  -2.38946E+01  -1.20532E+01
 532    61  EP  545   2.00553E+01   2.40292E+01   1.81650E+00  -2.39605E+01  -1.20895E+01

 Total Time    0.521E-02
tvbo_bif ... done
Starting tvbo_bif ...

  BR    PT  TY  LAB       I_         L2-NORM          V             W             b       
 532    10      539   1.58249E+01   1.98135E+01   1.81650E+00  -1.97301E+01  -9.76058E+00
 532    20      540   1.51660E+01   1.91574E+01   1.81650E+00  -1.90711E+01  -9.39783E+00
 532    30      541   1.45070E+01   1.85016E+01   1.81650E+00  -1.84122E+01  -9.03507E+00
 532    40      542   1.38481E+01   1.78459E+01   1.81650E+00  -1.77532E+01  -8.67232E+00
 532    50      543   1.31891E+01   1.71905E+01   1.81650E+00  -1.70943E+01  -8.30956E+00
 532    60      544   1.25302E+01   1.65354E+01   1.81650E+00  -1.64354E+01  -7.94681E+00
 532    70      545   1.18713E+01   1.58806E+01   1.81650E+00  -1.57764E+01  -7.58406E+00
 532    80      546   1.12123E+01   1.52262E+01   1.81650E+00  -1.51175E+01  -7.22130E+00
 532    90      547   1.05534E+01   1.45722E+01   1.81650E+00  -1.44585E+01  -6.85855E+00
 532   100      548   9.89443E+00   1.39186E+01   1.81650E+00  -1.37996E+01  -6.49579E+00
 532   110      549   9.23548E+00   1.32656E+01   1.81650E+00  -1.31406E+01  -6.13304E+00
 532   120      550   8.57654E+00   1.26132E+01   1.81650E+00  -1.24817E+01  -5.77028E+00
 532   130      551   7.91760E+00   1.19615E+01   1.81650E+00  -1.18228E+01  -5.40753E+00
 532   140      552   7.25866E+00   1.13106E+01   1.81650E+00  -1.11638E+01  -5.04477E+00
 532   150      553   6.59972E+00   1.06608E+01   1.81650E+00  -1.05049E+01  -4.68202E+00
 532   160      554   5.94077E+00   1.00121E+01   1.81650E+00  -9.84593E+00  -4.31927E+00
 532   170      555   5.28183E+00   9.36485E+00   1.81650E+00  -9.18699E+00  -3.95651E+00
 532   180      556   4.62289E+00   8.71936E+00   1.81650E+00  -8.52805E+00  -3.59376E+00
 532   190      557   3.96395E+00   8.07604E+00   1.81650E+00  -7.86911E+00  -3.23100E+00
 532   200      558   3.30501E+00   7.43546E+00   1.81650E+00  -7.21016E+00  -2.86825E+00
 532   210      559   2.64606E+00   6.79839E+00   1.81650E+00  -6.55122E+00  -2.50549E+00
 532   220      560   1.98712E+00   6.16592E+00   1.81650E+00  -5.89228E+00  -2.14274E+00
 532   230      561   1.32818E+00   5.53963E+00   1.81650E+00  -5.23334E+00  -1.77999E+00
 532   240      562   6.69237E-01   4.92186E+00   1.81650E+00  -4.57440E+00  -1.41723E+00
 532   250      563   1.02945E-02   4.31630E+00   1.81650E+00  -3.91545E+00  -1.05448E+00
 532   252  BT  564  -8.86621E-02   4.22674E+00   1.81650E+00  -3.81650E+00  -1.00000E+00

 Total Time    0.104E-01
tvbo_bif ... done
Merge done
/Users/leonmartin_bih/tools/tvbo/tvbo/analysis/bifurcation.py:1259: UserWarning: No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.
  ax.legend(framealpha=0.9, edgecolor="none", fontsize=7)

3D Bifurcation Diagram

The 3D plot shows the equilibrium backbone, periodic orbit tube surfaces (using the second state variable for cross-section shape), and codim-2 curves sweeping through parameter space:

eq_I_with_codim2_jl.plot_3d(VOI="V")

The tube surface shows the actual orbit shape at each parameter value, so the cross-section is the V-W phase portrait projected along the parameter axis. Individual orbit loops are drawn for clarity.

Jansen-Rit Model

cont = Continuation.from_string(
    """\
name: jr_mu
dynamics: JansenRit

free_parameters:
    - name: mu
      domain:
          lo: "-1"
          hi: "1"

max_steps: 200
ds: 0.01
tol_stability: 1.0e-12
newton_tol: 1.0e-6
bothside: true

branches:
    - name: po_from_hopf
      source_point: "hopf:all"
      bothside: true
"""
)

exp = SimulationExperiment(
    dynamics=Dynamics.from_ontology("JansenRit"), continuations=[cont]
)
bif_result2 = exp.run("bifurcationkit.jl")
bif_result2.continuations["jr_mu"].plot(VOI="y0")
CT: 0.727135 seconds (861.38 k allocations: 43.201 MiB, 99.73% compilation time)
CT: 0.056791 seconds (22.23 k allocations: 3.747 MiB, 94.90% gc time)
CT: 65.754533 seconds (5.34 M allocations: 25.387 GiB, 17.01% gc time, 6.70% compilation time)
CT: 92.494276 seconds (2.20 M allocations: 25.326 GiB, 12.59% gc time)
/Users/leonmartin_bih/tools/tvbo/tvbo/analysis/bifurcation.py:1259: UserWarning: No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.
  ax.legend(framealpha=0.9, edgecolor="none", fontsize=7)

Network (whole-brain) continuation

The examples above continue a single node. When the experiment carries a multi-node Network, exp.run("bifurcationkit.jl") continues the coupled system instead: the state is laid out as n_nodes blocks per state variable, each long-range coupling term becomes a connectivity matvec c = W · s evaluated once per step (with W taken from network.weights_matrix), and the per-node right-hand side runs in a loop. This is the vector field a whole-brain equilibrium diagram is continued along, such as the global-coupling G bifurcation of a Wong–Wang network.

No special flag is needed: attach a network and continue in the coupling parameter. The recorded observables become per-node summaries (<state>_max, <state>_mean across nodes), so the branch plots the maximum firing across the network against G, as in Deco et al. (2014) Fig. 2c.

from tvbo import Continuation, Dynamics, SimulationExperiment
from tvbo.classes.network import Network

model = Dynamics.from_ontology("ReducedWongWangExcInh")

cont = Continuation.from_string(
    """\
name: eq_G
dynamics: ReducedWongWangExcInh
free_parameters:
    - name: G
      domain: {lo: 0.0, hi: 6.0}
ds: 0.005
ds_max: 0.05
max_steps: 2500
detect_fold: true
detect_bifurcation: 2
initial_state: {method: time_integration, duration: 5000.0}
bothside: true
"""
)

exp = SimulationExperiment(dynamics=model, continuations=[cont])
exp.network = Network.from_matrix(weights, lengths)  # e.g. a 66-region connectome

bif = exp.run("bifurcationkit.jl")
bif.continuations["eq_G"].plot(VOI="S_e_max")  # max excitatory gating across nodes vs G

Heterogeneous parameters. A per-node parameter — for example the feedback-inhibition weights J_i fitted per region (FIC) — is supplied as a length-n_nodes array; it is emitted as a Julia vector and gathered per node inside the loop. Scalar parameters (such as the feed-forward-inhibition switch lambda) stay scalar. Special points are classified through the ontology’s bifurcation taxonomy (see ontology/tvb-o-bifurcation.ttl): a saddle-node fold is reported as a limit point (LP) even when the backend labels it a generic branch point, by testing whether the continuation parameter turns around at that point.