Attractors.jl

Attractors.jl

Attractors.jl is a Julia package for

• Finding all attractors, and all types of attractors, of arbitrary dynamical systems. An extendable interface allows for new algorithms for finding attractors.
• Finding their basins of attraction or the state space fractions of the basins. This includes finding exit basins (divergence to infinity).
• Analyzing nonlocal stability of attractors (also called global stability or resilience).
• Performing global continuation of attractors and their basins (or other measures of stability), over a parameter range. Global continuation is a new, cutting-edge type of continuation that offers several advantages over traditional local continuation (AUTO, MatCont, BifurcationKit.jl, etc.), see the comparison in our docs.
• Finding the basin boundaries and edges states and analyzing their fractal properties.
• Tipping points related functionality for systems with known dynamic rule.
• And more!

It can be used as a standalone package, or as part of DynamicalSystems.jl.

To install it, run import Pkg; Pkg.add("Attractors").

All further information is provided in the documentation, which you can either find online or build locally by running the docs/make.jl file.

Previously, Attractors.jl was part of ChaosTools.jl