https://github.com/nathanaelbosch/chaoticdynamicalsystemlibrary.jl

A collection of chaotic ODEs.
https://github.com/nathanaelbosch/chaoticdynamicalsystemlibrary.jl

chaotic-dynamical-systems dynamical-systems julia odes sciml

Last synced: 2 months ago
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A collection of chaotic ODEs.

• Host: GitHub
• URL: https://github.com/nathanaelbosch/chaoticdynamicalsystemlibrary.jl
• Owner: nathanaelbosch
• License: apache-2.0
• Created: 2023-12-22T18:28:18.000Z (about 1 year ago)
• Default Branch: main
• Last Pushed: 2024-05-06T08:37:08.000Z (8 months ago)
• Last Synced: 2024-10-12T18:34:50.054Z (3 months ago)
• Topics: chaotic-dynamical-systems, dynamical-systems, julia, odes, sciml
• Language: Julia
• Homepage: https://nathanaelbosch.github.io/ChaoticDynamicalSystemLibrary.jl/
• Size: 375 KB
• Stars: 8
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# ChaoticDynamicalSystemLibrary.jl

[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://nathanaelbosch.github.io/ChaoticDynamicalSystemLibrary.jl/stable/)

[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://nathanaelbosch.github.io/ChaoticDynamicalSystemLibrary.jl/dev/)

[![Build Status](https://github.com/nathanaelbosch/ChaoticDynamicalSystemLibrary.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/nathanaelbosch/ChaoticDynamicalSystemLibrary.jl/actions/workflows/CI.yml?query=branch%3Amain)

[![Coverage](https://codecov.io/gh/nathanaelbosch/ChaoticDynamicalSystemLibrary.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/nathanaelbosch/ChaoticDynamicalSystemLibrary.jl)

ChaoticDynamicalSystemLibrary.jl is a collection of chaotic dynamical systems for the Julia [SciML](https://sciml.ai/) ecosystem.

The package is a partial port of the [`dysts`](https://github.com/williamgilpin/dysts) Python package developed by [William Gilpin](https://github.com/williamgilpin).

It implements many (but not all) of the same systems, but does not provide any functionality to simulate them.

In contrast to [`dysts`](https://github.com/williamgilpin/dysts), the main focus of this package is not to be a benchmark for general time-series ML models, but only to provide a collection of ODEs.

Their simulation is left to other packages, such as [DifferentialEquations.jl](https://diffeq.sciml.ai/stable/).

---

**[**William Gilpin**](https://github.com/williamgilpin) deserves most of the credit for this package.

He is the original author of the [`dysts`](https://github.com/williamgilpin/dysts), and without [`dysts`](https://github.com/williamgilpin/dysts) this package would not exist.**

---

## Installation

```julia

import Pkg

Pkg.add("ChaoticDynamicalSystemLibrary")

```

## Usage

```julia

using ChaoticDynamicalSystemLibrary, DifferentialEquations, Plots

prob = ChaoticDynamicalSystemLibrary.Lorenz()

sol = solve(prob, Tsit5(), tspan=(0, 100))

plot(sol, idxs=(1, 2, 3))

```

![Lorenz Simulation](./docs/src/readmeplot.svg?raw=true "Lorenz Simulation")

For a full list of the available systems, see the [documentation](https://nathanaelbosch.github.io/ChaoticDynamicalSystemLibrary.jl/stable/).

## Acknowledgements

- [William Gilpin](https://github.com/williamgilpin) / [`dysts`](https://github.com/williamgilpin/dysts):

  The foundation that this package is based on.

- [Jürgen Meier](http://www.3d-meier.de/tut19/Seite1.html) and

  [J. C. Sprott](http://sprott.physics.wisc.edu/sprott.htm):

  `dysts` contains systems from both collections, and therefore so does this package.