bifurcationkit: towards automatic bifurcation analysis of dynamic systems
The bifurcationkit organization is a collection of tools for computing bifurcation diagrams of dynamical systems developed in the Julia programming language. The organization provides well-maintained tools which compose together as a coherent ecosystem.
🚀 Where to start?
- Want to get started running some code? Check out the Getting Started tutorials
- Want to compute bifurcation diagrams of PDEs? check these tutorials
- Want to compute bifurcation diagrams of GPU? check these tutorials
🧩 Which packages?
- for delay differential equations, check DDEBifurcationKit.jl
- for computing homoclinic orbits, check HclinicBifurcationKit.jl
- for PDE solved with Gridap.jl, check GridapBifurcationKit.jl
- for multi-parameter continuation, check MultiParamContinuation.jl
SciML Integration
BifurcationKit.jl is listed in third party parameter analysis of SciML Docs under the “Analysis” menu. ModelingToolkit.jl and Catalyst.jl rely on BifurcationKit.jl as external dependency.
Summary
| Package | Version | CI Status | Coverage | Documentation |
|---|---|---|---|---|
| BifurcationKit.jl |  |
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| HclinicBifurcationKit.jl |  |
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| MultiParamContinuation.jl |  |
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| DDEBifurcationKit.jl |  |
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| GridapBifurcationKit.jl |  |
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| AsymptoticNumericalMethod.jl |  |
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| PeriodicSchurBifurcationKit.jl |  |
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