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.