Bifurcation analysis reveals how a system’s qualitative behavior changes as parameters vary — fixed points, oscillations, and transitions.
TVBO supports multiple backends for bifurcation analysis using the same Continuation specification:
BifurcationKit.jl — Julia-based, via exp.run("bifurcationkit.jl")
PyRates/PyCoBi — Python-based (AUTO-07p), via exp.run("pyrates-bifurcation")
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())
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.
State Equations
\[
\dot{V} = d*\tau*\left(I*\gamma + V*g + V*c_{local} + W*\alpha + c_{glob}*\gamma + e*V^{2} - f*V^{3}\right)
\] \[
\dot{W} = \frac{d*\left(a + V*b + c*V^{2} - W*\beta\right)}{\tau}
\]
Parameters
\(I\)
0.0
N/A
Baseline shift of the cubic nullcline
\(a\)
-2.0
N/A
Vertical shift of the configurable nullcline
\(\alpha\)
1.0
N/A
Constant parameter to scale the rate of feedback from the slow variable to the fast variable.
\(b\)
-10.0
N/A
Linear slope of the configurable nullcline
\(\beta\)
1.0
N/A
Constant parameter to scale the rate of feedback from the slow variable to itself
\(c\)
0.0
N/A
Parabolic term of the configurable nullcline
\(d\)
0.02
N/A
Temporal scale factor
\(e\)
3.0
N/A
Coefficient of the quadratic term of the cubic nullcline
\(f\)
1.0
N/A
Coefficient of the cubic term of the cubic nullcline
\(g\)
0.0
N/A
Coefficient of the linear term of the cubic nullcline
\(\gamma\)
1.0
N/A
Constant parameter to reproduce FHN dynamics where excitatory input currents are negative
\(\tau\)
1.0
N/A
A time-scale hierarchy can be introduced for the state variables :math:V and :math:W
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_a
label: "Equilibrium branch in a"
description: >-
Continue the equilibrium branch of the Generic2dOscillator as parameter a 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])
BifurcationKit.jl backend
bif_result_jl = exp.run("bifurcationkit.jl" )
bif_result_jl.plot(VOI= 'V' )
Detected IPython. Loading juliacall extension. See https://juliapy.github.io/PythonCall.jl/stable/compat/#IPython
PyRates/PyCoBi backend (same specification!)
bif_result_py = exp.run("pyrates-bifurcation" )
bif_result_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.
-------------------------------------------------------------
Could not import plotting modules, plotting will be disabled.
This is probably because Tkinter is not enabled in your Python installation.
-------------------------------------------------------------
gfortran -g -fopenmp -O -c tvbo_bif.f90 -o tvbo_bif.o
gfortran -g -fopenmp -O tvbo_bif.o -o tvbo_bif.exe /Applications/auto-07p/lib/*.o
Starting tvbo_bif ...
BR PT TY LAB PAR(14) L2-NORM U(1) U(2)
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
1 3000 151 2.94003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3020 152 2.96003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3040 153 2.98003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3060 154 3.00003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3080 155 3.02003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3100 156 3.04003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3120 157 3.06003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3140 158 3.08003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3160 159 3.10003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3180 160 3.12003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3200 161 3.14003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3220 162 3.16003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3240 163 3.18003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3260 164 3.20003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3280 165 3.22003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3300 166 3.24003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3320 167 3.26003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3340 168 3.28003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3360 169 3.30003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3380 170 3.32003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3400 171 3.34003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3420 172 3.36003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3440 173 3.38003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3460 174 3.40003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3480 175 3.42003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3500 176 3.44003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3520 177 3.46003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3540 178 3.48003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3560 179 3.50003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3580 180 3.52003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3600 181 3.54003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3620 182 3.56003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3640 183 3.58003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3660 184 3.60003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3680 185 3.62003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3700 186 3.64003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3720 187 3.66003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
1 3740 188 3.68003E+03 2.20154E-01 -1.88652E-01 -1.13482E-01
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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 0.198E+00
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM U(1) U(2)
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 0.100E-01
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM MAX U(1) MAX U(2)
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 5.70308E-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 1.34379E+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 2.04642E+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 -3.26240E+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 0.803E+01
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM MAX U(1) MAX U(2)
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 -4.56620E+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 2.19048E+00 -4.30669E+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 0.806E+01
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 — e.g. I (nullcline shift) with b (nullcline slope), not 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" )
result_c2_jl.plot_codim2()
┌ Warning: More than one Event was detected bt-bp. We call the continuous event to save data in the branch.
└ @ BifurcationKit ~/.julia/packages/BifurcationKit/Y3DPO/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/Y3DPO/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/Y3DPO/src/continuation/Contbase.jl:73
PyRates/PyCoBi codim-2
result_c2_py = exp_c2.run("pyrates-bifurcation" )
result_c2_py.plot_codim2()
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.
gfortran -g -fopenmp -O -c tvbo_bif.f90 -o tvbo_bif.o
gfortran -g -fopenmp -O tvbo_bif.o -o tvbo_bif.exe /Applications/auto-07p/lib/*.o
Starting tvbo_bif ...
BR PT TY LAB PAR(14) L2-NORM U(1) U(2)
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
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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 0.206E+00
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM U(1) U(2)
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 0.974E-02
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM MAX U(1) MAX U(2)
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 5.70308E-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 1.34379E+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 2.04642E+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 -3.26240E+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 0.788E+01
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM MAX U(1) MAX U(2)
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 -4.56620E+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 2.19048E+00 -4.30669E+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 0.812E+01
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM U(1) U(2) PAR(18)
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 0.199E-01
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM U(1) U(2) PAR(18)
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 0.443E-02
tvbo_bif ... done
Merge done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM U(1) U(2) PAR(18)
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 0.354E-02
tvbo_bif ... done
Starting tvbo_bif ...
BR PT TY LAB PAR(4) L2-NORM U(1) U(2) PAR(18)
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 0.101E-01
tvbo_bif ... done
Merge done
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:
result_c2_jl.plot_3d(VOI= 'V' )
The tube surface shows the actual orbit shape at each parameter value — 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.plot(VOI= "y0" )