# Class: Continuation _Complete specification of a numerical continuation / bifurcation analysis. All universal solver settings live directly here. Toolkit-specific string options go in the options slot. When used inside a BranchSwitch, only explicitly set attributes override the parent's values._
URI: [tvbo:Continuation](https://w3id.org/tvbo/Continuation) ```{mermaid} classDiagram class Continuation click Continuation href "./Continuation.html" Continuation : algorithm Continuation --> "0..1" ContinuationAlgorithm : algorithm click ContinuationAlgorithm href "../../enums/ContinuationAlgorithm.html" Continuation : bothside Continuation --> "0..1" Boolean : bothside click Boolean href "../http://www.w3.org/2001/XMLSchema#boolean.html" Continuation : branches Continuation --> "*" BranchSwitch : branches click BranchSwitch href "./BranchSwitch.html" Continuation : description Continuation --> "0..1" String : description click String href "../http://www.w3.org/2001/XMLSchema#string.html" Continuation : detect_bifurcation Continuation --> "0..1" Integer : detect_bifurcation click Integer href "../http://www.w3.org/2001/XMLSchema#integer.html" Continuation : detect_fold Continuation --> "0..1" Boolean : detect_fold click Boolean href "../http://www.w3.org/2001/XMLSchema#boolean.html" Continuation : ds Continuation --> "0..1" Float : ds click Float href "../http://www.w3.org/2001/XMLSchema#float.html" Continuation : ds_max Continuation --> "0..1" Float : ds_max click Float href "../http://www.w3.org/2001/XMLSchema#float.html" Continuation : ds_min Continuation --> "0..1" Float : ds_min click Float href "../http://www.w3.org/2001/XMLSchema#float.html" Continuation : dynamics Continuation --> "0..1" Dynamics : dynamics click Dynamics href "./Dynamics.html" Continuation : execution Continuation --> "0..1" ExecutionConfig : execution click ExecutionConfig href "./ExecutionConfig.html" Continuation : free_parameters Continuation --> "*" Parameter : free_parameters click Parameter href "./Parameter.html" Continuation : initial_state Continuation --> "0..1" InitialState : initial_state click InitialState href "./InitialState.html" Continuation : label Continuation --> "0..1" String : label click String href "../http://www.w3.org/2001/XMLSchema#string.html" Continuation : max_bisection_steps Continuation --> "0..1" Integer : max_bisection_steps click Integer href "../http://www.w3.org/2001/XMLSchema#integer.html" Continuation : max_steps Continuation --> "0..1" Integer : max_steps click Integer href "../http://www.w3.org/2001/XMLSchema#integer.html" Continuation : n_inversion Continuation --> "0..1" Integer : n_inversion click Integer href "../http://www.w3.org/2001/XMLSchema#integer.html" Continuation : name Continuation --> "1" String : name click String href "../http://www.w3.org/2001/XMLSchema#string.html" Continuation : nev Continuation --> "0..1" Integer : nev click Integer href "../http://www.w3.org/2001/XMLSchema#integer.html" Continuation : newton_max_iterations Continuation --> "0..1" Integer : newton_max_iterations click Integer href "../http://www.w3.org/2001/XMLSchema#integer.html" Continuation : newton_tol Continuation --> "0..1" Float : newton_tol click Float href "../http://www.w3.org/2001/XMLSchema#float.html" Continuation : options Continuation --> "*" Option : options click Option href "./Option.html" Continuation : software Continuation --> "0..1" SoftwareRequirement : software click SoftwareRequirement href "./SoftwareRequirement.html" Continuation : tol_stability Continuation --> "0..1" Float : tol_stability click Float href "../http://www.w3.org/2001/XMLSchema#float.html" ``` ## Class Properties | Property | Value | | --- | --- | | Class URI | [tvbo:Continuation](https://w3id.org/tvbo/Continuation) | ## Slots | Name | Cardinality and Range | Description | Inheritance | | --- | --- | --- | --- | | [name](../slots/name.qmd) | 1
[xsd:string](http://www.w3.org/2001/XMLSchema#string) | Globally unique identifier for the entity | direct | | [label](../slots/label.qmd) | 0..1
[xsd:string](http://www.w3.org/2001/XMLSchema#string) | | direct | | [description](../slots/description.qmd) | 0..1
[xsd:string](http://www.w3.org/2001/XMLSchema#string) | | direct | | [dynamics](../slots/dynamics.qmd) | 0..1
[Dynamics](../classes/Dynamics.qmd) | Reference to the dynamical system model (by name) | direct | | [free_parameters](../slots/free_parameters.qmd) | *
[Parameter](../classes/Parameter.qmd) | Parameters to vary | direct | | [ds](../slots/ds.qmd) | 0..1
[xsd:float](http://www.w3.org/2001/XMLSchema#float) | Initial arc-length step size | direct | | [ds_min](../slots/ds_min.qmd) | 0..1
[xsd:float](http://www.w3.org/2001/XMLSchema#float) | Minimum adaptive step size | direct | | [ds_max](../slots/ds_max.qmd) | 0..1
[xsd:float](http://www.w3.org/2001/XMLSchema#float) | Maximum adaptive step size | direct | | [max_steps](../slots/max_steps.qmd) | 0..1
[xsd:integer](http://www.w3.org/2001/XMLSchema#integer) | Maximum continuation steps | direct | | [newton_tol](../slots/newton_tol.qmd) | 0..1
[xsd:float](http://www.w3.org/2001/XMLSchema#float) | Absolute tolerance for Newton corrector convergence | direct | | [newton_max_iterations](../slots/newton_max_iterations.qmd) | 0..1
[xsd:integer](http://www.w3.org/2001/XMLSchema#integer) | Maximum Newton corrector iterations per step | direct | | [nev](../slots/nev.qmd) | 0..1
[xsd:integer](http://www.w3.org/2001/XMLSchema#integer) | Number of eigenvalues to compute | direct | | [tol_stability](../slots/tol_stability.qmd) | 0..1
[xsd:float](http://www.w3.org/2001/XMLSchema#float) | Tolerance on real part of eigenvalue for stability boundary | direct | | [detect_bifurcation](../slots/detect_bifurcation.qmd) | 0..1
[xsd:integer](http://www.w3.org/2001/XMLSchema#integer) | Bifurcation detection level | direct | | [detect_fold](../slots/detect_fold.qmd) | 0..1
[xsd:boolean](http://www.w3.org/2001/XMLSchema#boolean) | Enable fold (limit point) detection | direct | | [n_inversion](../slots/n_inversion.qmd) | 0..1
[xsd:integer](http://www.w3.org/2001/XMLSchema#integer) | Number of eigenvalue sign inversions to flag a bifurcation | direct | | [max_bisection_steps](../slots/max_bisection_steps.qmd) | 0..1
[xsd:integer](http://www.w3.org/2001/XMLSchema#integer) | Maximum bisection steps for bifurcation point localization | direct | | [algorithm](../slots/algorithm.qmd) | 0..1
[ContinuationAlgorithm](../enums/ContinuationAlgorithm.qmd) | Predictor-corrector algorithm | direct | | [initial_state](../slots/initial_state.qmd) | 0..1
[InitialState](../classes/InitialState.qmd) | How to obtain the initial equilibrium | direct | | [branches](../slots/branches.qmd) | *
[BranchSwitch](../classes/BranchSwitch.qmd) | Child branches to continue from detected bifurcation points (PO from Hopf, fo... | direct | | [bothside](../slots/bothside.qmd) | 0..1
[xsd:boolean](http://www.w3.org/2001/XMLSchema#boolean) | Continue in both directions from the starting point | direct | | [execution](../slots/execution.qmd) | 0..1
[ExecutionConfig](../classes/ExecutionConfig.qmd) | Per-analysis execution configuration | direct | | [software](../slots/software.qmd) | 0..1
[SoftwareRequirement](../classes/SoftwareRequirement.qmd) | Backend engine (BifurcationKit, AUTO-07p, MatCont, etc | direct | | [options](../slots/options.qmd) | *
[Option](../classes/Option.qmd) | Toolkit-specific string options (tangent method, solver name, etc | direct | ## Usages | used by | used in | type | used | | --- | --- | --- | --- | | [BranchSwitch](../classes/BranchSwitch.qmd) | [continuation](../slots/continuation.qmd) | range | [Continuation](../classes/Continuation.qmd) | | [SimulationExperiment](../classes/SimulationExperiment.qmd) | [continuations](../slots/continuations.qmd) | range | [Continuation](../classes/Continuation.qmd) | ## Identifier and Mapping Information ### Schema Source * from schema: https://w3id.org/tvbo ## Mappings | Mapping Type | Mapped Value | | --- | --- | | self | tvbo:Continuation | | native | tvbo:Continuation | ## LinkML Source ### Direct
```yaml name: Continuation description: Complete specification of a numerical continuation / bifurcation analysis. All universal solver settings live directly here. Toolkit-specific string options go in the options slot. When used inside a BranchSwitch, only explicitly set attributes override the parent's values. from_schema: https://w3id.org/tvbo slots: - name - label - description attributes: dynamics: name: dynamics description: Reference to the dynamical system model (by name). Resolved from the experiment's dynamics dict at runtime. from_schema: https://w3id.org/tvbo domain_of: - Network - Node - Edge - Observation - Continuation - SimulationExperiment range: Dynamics inlined: false free_parameters: name: free_parameters description: Parameters to vary. First parameter is primary (codim-1); second enables codim-2 continuation. Each Parameter has name + domain (Range with lo/hi bounds). from_schema: https://w3id.org/tvbo domain_of: - OptimizationStage - Continuation range: Parameter multivalued: true inlined: true inlined_as_list: true ds: name: ds description: Initial arc-length step size. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: float ds_min: name: ds_min description: Minimum adaptive step size. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: float ds_max: name: ds_max description: Maximum adaptive step size. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: float max_steps: name: max_steps description: Maximum continuation steps. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: integer newton_tol: name: newton_tol description: Absolute tolerance for Newton corrector convergence. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: float newton_max_iterations: name: newton_max_iterations description: Maximum Newton corrector iterations per step. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: integer nev: name: nev description: Number of eigenvalues to compute. Must be >= number of state variables for reliable Hopf detection. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: integer tol_stability: name: tol_stability description: Tolerance on real part of eigenvalue for stability boundary. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: float detect_bifurcation: name: detect_bifurcation description: Bifurcation detection level. 0 = off, 1 = eigenvalues only, 2 = detect, 3 = locate precisely. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: integer detect_fold: name: detect_fold description: Enable fold (limit point) detection. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: boolean n_inversion: name: n_inversion description: Number of eigenvalue sign inversions to flag a bifurcation. Must be even. Higher = fewer false positives. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: integer max_bisection_steps: name: max_bisection_steps description: Maximum bisection steps for bifurcation point localization. from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: integer algorithm: name: algorithm description: Predictor-corrector algorithm. from_schema: https://w3id.org/tvbo ifabsent: string(PALC) domain_of: - Digest - OptimizationStage - AlgorithmInclude - Continuation range: ContinuationAlgorithm initial_state: name: initial_state description: 'How to obtain the initial equilibrium. Default: time integration to steady state.' from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation - SimulationExperiment range: InitialState inlined: true branches: name: branches description: Child branches to continue from detected bifurcation points (PO from Hopf, fold continuation, etc.). from_schema: https://w3id.org/tvbo rank: 1000 domain_of: - Continuation range: BranchSwitch multivalued: true inlined: true bothside: name: bothside description: Continue in both directions from the starting point. from_schema: https://w3id.org/tvbo domain_of: - BranchSwitch - Continuation range: boolean execution: name: execution description: Per-analysis execution configuration. from_schema: https://w3id.org/tvbo domain_of: - Analysis - Optimization - Exploration - Inference - Algorithm - Continuation - SimulationExperiment range: ExecutionConfig inlined: true software: name: software description: Backend engine (BifurcationKit, AUTO-07p, MatCont, etc.). from_schema: https://w3id.org/tvbo domain_of: - Callable - Continuation - SimulationExperiment range: SoftwareRequirement inlined: true options: name: options description: Toolkit-specific string options (tangent method, solver name, etc.). from_schema: https://w3id.org/tvbo domain_of: - Discretization - BranchSwitch - Continuation - WorkflowEngineConfig range: Option multivalued: true inlined: true inlined_as_list: true class_uri: tvbo:Continuation ```
### Induced
```yaml name: Continuation description: Complete specification of a numerical continuation / bifurcation analysis. All universal solver settings live directly here. Toolkit-specific string options go in the options slot. When used inside a BranchSwitch, only explicitly set attributes override the parent's values. from_schema: https://w3id.org/tvbo attributes: dynamics: name: dynamics description: Reference to the dynamical system model (by name). Resolved from the experiment's dynamics dict at runtime. from_schema: https://w3id.org/tvbo owner: Continuation domain_of: - Network - Node - Edge - Observation - Continuation - SimulationExperiment range: Dynamics inlined: false free_parameters: name: free_parameters description: Parameters to vary. First parameter is primary (codim-1); second enables codim-2 continuation. Each Parameter has name + domain (Range with lo/hi bounds). from_schema: https://w3id.org/tvbo owner: Continuation domain_of: - OptimizationStage - Continuation range: Parameter multivalued: true inlined: true inlined_as_list: true ds: name: ds description: Initial arc-length step size. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: float ds_min: name: ds_min description: Minimum adaptive step size. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: float ds_max: name: ds_max description: Maximum adaptive step size. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: float max_steps: name: max_steps description: Maximum continuation steps. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: integer newton_tol: name: newton_tol description: Absolute tolerance for Newton corrector convergence. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: float newton_max_iterations: name: newton_max_iterations description: Maximum Newton corrector iterations per step. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: integer nev: name: nev description: Number of eigenvalues to compute. Must be >= number of state variables for reliable Hopf detection. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: integer tol_stability: name: tol_stability description: Tolerance on real part of eigenvalue for stability boundary. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: float detect_bifurcation: name: detect_bifurcation description: Bifurcation detection level. 0 = off, 1 = eigenvalues only, 2 = detect, 3 = locate precisely. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: integer detect_fold: name: detect_fold description: Enable fold (limit point) detection. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: boolean n_inversion: name: n_inversion description: Number of eigenvalue sign inversions to flag a bifurcation. Must be even. Higher = fewer false positives. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: integer max_bisection_steps: name: max_bisection_steps description: Maximum bisection steps for bifurcation point localization. from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: integer algorithm: name: algorithm description: Predictor-corrector algorithm. from_schema: https://w3id.org/tvbo ifabsent: string(PALC) owner: Continuation domain_of: - Digest - OptimizationStage - AlgorithmInclude - Continuation range: ContinuationAlgorithm initial_state: name: initial_state description: 'How to obtain the initial equilibrium. Default: time integration to steady state.' from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation - SimulationExperiment range: InitialState inlined: true branches: name: branches description: Child branches to continue from detected bifurcation points (PO from Hopf, fold continuation, etc.). from_schema: https://w3id.org/tvbo rank: 1000 owner: Continuation domain_of: - Continuation range: BranchSwitch multivalued: true inlined: true bothside: name: bothside description: Continue in both directions from the starting point. from_schema: https://w3id.org/tvbo owner: Continuation domain_of: - BranchSwitch - Continuation range: boolean execution: name: execution description: Per-analysis execution configuration. from_schema: https://w3id.org/tvbo owner: Continuation domain_of: - Analysis - Optimization - Exploration - Inference - Algorithm - Continuation - SimulationExperiment range: ExecutionConfig inlined: true software: name: software description: Backend engine (BifurcationKit, AUTO-07p, MatCont, etc.). from_schema: https://w3id.org/tvbo owner: Continuation domain_of: - Callable - Continuation - SimulationExperiment range: SoftwareRequirement inlined: true options: name: options description: Toolkit-specific string options (tangent method, solver name, etc.). from_schema: https://w3id.org/tvbo owner: Continuation domain_of: - Discretization - BranchSwitch - Continuation - WorkflowEngineConfig range: Option multivalued: true inlined: true inlined_as_list: true name: name: name description: Globally unique identifier for the entity. from_schema: https://w3id.org/tvbo/common slot_uri: schema:name identifier: true owner: Continuation domain_of: - BrainAtlas - CommonCoordinateSpace - ParcellationEntity - StudyLayout - StudyTemplate - StudyDirectory - StudyFile - DBSProtocol - ClinicalScale - ClinicalScore - SoftwarePackage - SoftwareRequirement - SoftwareEnvironment - Figure - Event - Tractogram - ResultEntity - Activity - CachedArray - MeasureSpec - NamedArray - GraphGenerator - Binding - ProcedureStep - File - StateValue - Observation - Dynamics - StateVariable - Distribution - Parameter - CouplingInput - Argument - Function - FunctionCall - Callable - DerivedParameter - DerivedVariable - DataSource - OptimizationStage - Exploration - Inference - Prior - Likelihood - UpdateRule - Algorithm - Option - BranchSwitch - Continuation - Coupling - EnvironmentVariable - SchedulerDirective - Reducer range: string required: true label: name: label from_schema: https://w3id.org/tvbo rank: 1000 slot_uri: rdfs:label owner: Continuation domain_of: - ParcellationTerminology - Subject - Session - Dataset - Contact - SoftwareEnvironment - Figure - Panel - Inset - Layer - Colorbar - Rule - Equation - Stimulus - Event - Parcellation - Tractogram - Matrix - Phenotype - Network - Node - Edge - Observation - Dynamics - StateVariable - Parameter - Function - FunctionCall - DerivedVariable - RandomStream - DataSource - OptimizationStage - Exploration - ExplorationAxis - FreeParameter - Inference - AlgorithmStage - TuningObjective - Continuation - Coupling - RegionMapping - SimulationExperiment - SimulationStudy - TimeSeries - NDArray - SpatialDomain - Mesh - SpatialField - FieldStateVariable - DifferentialOperator - BoundaryCondition - PDESolver - PDE range: string description: name: description from_schema: https://w3id.org/tvbo rank: 1000 slot_uri: dcterms:description owner: Continuation domain_of: - CommonCoordinateSpace - Dataset - StudyLayout - StudyTemplate - StudyDirectory - StudyFile - ClinicalScore - SoftwarePackage - SoftwareRequirement - SoftwareEnvironment - Figure - Panel - Equation - Stimulus - Event - Tractogram - Matrix - ResultEntity - Activity - Phenotype - MeasureSpec - NamedArray - Network - GraphGenerator - ProcedureStep - File - Node - Edge - Observation - Dynamics - StateVariable - Parameter - CouplingInput - Argument - Function - FunctionCall - Callable - DerivedParameter - DerivedVariable - RandomStream - DataSource - OptimizationStage - Exploration - ExplorationAxis - FreeParameter - Inference - Prior - Likelihood - UpdateRule - AlgorithmStage - TuningObjective - Algorithm - BranchSwitch - Continuation - Integrator - Coupling - RegionMapping - SimulationExperiment - Study - ResultBinding - TimeSeries - NDArray - SpatialDomain - Mesh - SpatialField - FieldStateVariable - BoundaryCondition - PDESolver - PDE - Reducer range: string class_uri: tvbo:Continuation ```