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Find attractors of dynamical systems, their basins, and continue them across parameters. Also tipping points for analytic systems.

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Attractors.jl

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A Julia module for

  • finding attractors of arbitrary dynamical systems
  • finding their basins of attraction or the state space fractions of the basins
  • analyzing global stability of attractors (also called non-local stability or resilience)
  • "continuing" the attractors and their basins over a parameter range
  • finding the basin boundaries 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

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Find attractors of dynamical systems, their basins, and continue them across parameters. Also tipping points for analytic systems.

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