These examples come from Fractional-Order Nonlinear Systems, and can serve as companions to reproduce these well known fractional order chaotic systems in Julia.
FractionalDiffEq.jl also has impressive capability for solving Nonlinear system of FODEs:
Fractional Order Arneodo System
Fractional Order Arneodo System
Fractional Order Brusselator System
Fractional Order Brusselator System
Fractional Order Chen System
Fractional orderChen system:
Fractional Order Duffing System
Fractional Order Duffing System
An example of system of Fractional Difference Equations
An example of system of Fractional Difference Equations
Fractional Order Genesio-Tesi System
Fractional Order Genesio-Tesi System
Fractional Order Hadley System
Fractional Order Hadley System
Fractional Order Labyrinth System
Fractional Order Labyrinth System
Fractional Order Liu System
Fractional Order Liu System
Fractional Order Lotka Volterra System
Fractional Order Lotka Volterra System
Fractional Order Lu System
Fractional Order Lu System
Fractional Order Qi System
Since the Qi chaotic system is depicted as:
Fractional Order Rossler System
Fractional Order Rossler System
Fractional Order Van der Pol Oscillator
Fractional Order Van der Pol Oscillator