Analyzing a system's stability properties

To use the following functionalities, you need to load ChoasTools.jl and Attractors.jl (which are included as dependencies in CriticalTransitions.jl).

Fixed points

The fixed points of the deterministic part of a CoupledSDEs can be found with ChaosTools.fixedpoints; see the ChaosTools documentation for details.

Edge tracking

The edge tracking algorithm is a simple numerical method to find the edge state or (possibly chaotic) saddle on the boundary between two basins of attraction. It is first introduced by Battelino et al. (1988) and further described by Skufca et al. (2006), Mehling et al. (2024).

See Attractors.edgetracking, Attractors.bisect_to_edge, and Attractors.EdgeTrackingResults in the Attractors documentation.