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https://github.com/juliadynamics/attractors.jl

Find attractors (and their basins) of dynamical systems. Perform global continuation. Study global stability (a.k.a. non-local, or resilience). Also tipping points functionality.
https://github.com/juliadynamics/attractors.jl

attractors basins-of-attraction continuation hacktoberfest nonlinear tipping-points

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Find attractors (and their basins) of dynamical systems. Perform global continuation. Study global stability (a.k.a. non-local, or resilience). Also tipping points functionality.

Host: GitHub
URL: https://github.com/juliadynamics/attractors.jl
Owner: JuliaDynamics
License: mit
Created: 2022-10-19T10:51:01.000Z (about 2 years ago)
Default Branch: main
Last Pushed: 2024-10-20T09:49:15.000Z (2 months ago)
Last Synced: 2024-10-20T10:27:28.316Z (2 months ago)
Topics: attractors, basins-of-attraction, continuation, hacktoberfest, nonlinear, tipping-points
Language: Julia
Homepage:
Size: 208 MB
Stars: 33
Watchers: 5
Forks: 6
Open Issues: 29
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- License: LICENSE.md
- Citation: CITATION.bib

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README

        # Attractors.jl

[![docsdev](https://img.shields.io/badge/docs-dev-lightblue.svg)](https://juliadynamics.github.io/DynamicalSystemsDocs.jl/attractors/dev/)

[![docsstable](https://img.shields.io/badge/docs-stable-blue.svg)](https://juliadynamics.github.io/DynamicalSystemsDocs.jl/attractors/stable/)

[![Paper](https://img.shields.io/badge/Cite-DOI:10.1063/5.0159675-purple)](https://arxiv.org/abs/2304.12786)

[![CI](https://github.com/JuliaDynamics/Attractors.jl/workflows/CI/badge.svg)](https://github.com/JuliaDynamics/Attractors.jl/actions?query=workflow%3ACI)

[![codecov](https://codecov.io/gh/JuliaDynamics/Attractors.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/JuliaDynamics/Attractors.jl)

[![Package Downloads](https://img.shields.io/badge/dynamic/json?url=http%3A%2F%2Fjuliapkgstats.com%2Fapi%2Fv1%2Ftotal_downloads%2FAttractors&query=total_requests&label=Downloads)](http://juliapkgstats.com/pkg/Attractors)

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](https://juliadynamics.github.io/DynamicalSystemsDocs.jl/dynamicalsystems/stable/).

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

All further information is provided in the documentation, which you can either find [online](https://juliadynamics.github.io/DynamicalSystemsDocs.jl/attractors/stable/) or build locally by running the `docs/make.jl` file.

_Previously, Attractors.jl was part of ChaosTools.jl_