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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

Lotka-Volterra prey-predator model

Phase portrait

Time series

Hénon attractor

Hénon attractor

Lorenz attractor

Lorenz attractor

Nosé-Hoover attractor variants

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

Nosé-Hoover variant with initial conditions (2, 3, 1)

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

Nosé-Hoover variant with initial conditions (0, 5, 0)

Chua attractor

Chua attractor

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

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Some interesting nonlinear systems plotted with MATLAB.

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