search

JuliaDynamics / ChaosTools.jl

Tools for the exploration of chaos and nonlinear dynamics
https://juliadynamics.github.io/DynamicalSystemsDocs.jl/chaostools/stable/
MIT License
189 stars 36 forks source link

Add `fixedpoints` function based on IntervalRootFinding.jl #221

Closed Datseris closed 3 years ago

Datseris commented 3 years ago

See docstring!

Datseris commented 3 years ago

@dpsanders this is good to go from my end. Perhaps you are interested in giving a review? Something I found odd is that there is always a warning of Non-unique fixed points. E.g, for the Lorenz test case, even though the dynamic rule is very smooth and everything is in order, root.status != :unique is not true. Any ideas why this is the case...? I'd expect that in such a system where the fixed points are very much separated in state space and the vector field is smooth there shouldn't be any problems.

Datseris commented 3 years ago

@rveltz I am also tagging you here, just to let you know about this function that seems to be directly relevant for BifurcationKit.jl, at least for starting continuations for low dimensional systems.

(also, don't worry, I will finish my PR at BifurcationKit.jl soon, we just submitted our textbook to the publisher)