[showcase] Add more examples of chaotic systems - Githubissues

alexfikl / pycaputo

Evaluate fractional integrals and solve fractional ODEs.

https://pycaputo.readthedocs.io

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[showcase] Add more examples of chaotic systems #53

Closed alexfikl closed 4 days ago

alexfikl commented 4 months ago

There's a wonderful gallery https://scifracx.org/FractionalDiffEq.jl/dev/ChaosGallery that we could reproduce. Most of the examples below are present there as well.

Petras 2011 https://doi.org/10.1007/978-3-642-18101-6

[x] Fractional Order Chua System
[x] Fractional Order Van der Pol Oscillator
[x] Fractional Order Duffing System
[x] Fractional Order Lorenz System
[x] Fractional Order Chen System
[x] Fractional Order Lu System
[x] Fractional Order Liu System
[x] Fractional Order Genesio-Tesi System
[x] Fractional Order Arneodo System
[x] Fractional Order Rossler System
[x] Fractional Order Newton-Leipnik System
[x] Fractional Order Lotka-Volterra System
[x] Fractional Order Financial System
[x] Fractional Order CNN
[x] Fractional Order Volta System

Others

[x] Fractional Order Brusselator System
[x] Fractional Order Lorenz-84 (Hadley) System
[x] Fractional Order Labyrinth System
[x] Fractional Order Qi System

alexfikl commented 4 days ago

These are all implemented for the Caputo derivative (discretized with PECE). It would be cool to have some with other types of derivatives, once those are implemented.