https://github.com/mrvideo/nonlineardynamics

Some interesting nonlinear systems plotted with MATLAB.
https://github.com/mrvideo/nonlineardynamics

chaos-theory matlab nonlinear-dynamics

Last synced: 2 months ago
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Some interesting nonlinear systems plotted with MATLAB.

• Host: GitHub
• URL: https://github.com/mrvideo/nonlineardynamics
• Owner: MrVideo
• License: unlicense
• Created: 2024-10-14T22:02:39.000Z (8 months ago)
• Default Branch: main
• Last Pushed: 2025-03-09T15:51:36.000Z (3 months ago)
• Last Synced: 2025-04-06T12:35:41.681Z (2 months ago)
• Topics: chaos-theory, matlab, nonlinear-dynamics
• Language: MATLAB
• Homepage:
• Size: 764 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Nonlinear dynamics

This is just a collection of some interesting models that I encountered in the course *Teoria dei Sistemi (Dinamica Nonlineare)* at Politecnico di Milano.

The scripts were made with MATLAB R2024b and you are free to run them and modify them to experiment with the various attractors they represent.

Below, some previews of the attractors which you can find in this repo.

## Barnsley Fern

![Barnsley Fern](img/barnsley.png)

## Lotka-Volterra prey-predator model

![Phase portrait](img/lv_phaseplane.png)

![Time series](img/lv_timeseries.png)

## Hénon attractor

![Hénon attractor](img/henon.png)

## Lorenz attractor

![Lorenz attractor](img/lorenz.png)

## Nosé-Hoover attractor variants

### Initial conditions: $(2, 3, 1)$

![Nosé-Hoover variant with initial conditions (2, 3, 1)](img/nh_var1.png)

### Initial conditions: $(0, 5, 0)$

![Nosé-Hoover variant with initial conditions (0, 5, 0)](img/nh_var2.png)

## Chua attractor

![Chua attractor](img/chua.png)

> You can find the attribution for model, parameters and initial conditions for this attractor in the source code.