Introductory Julia for Dynamical Systems

During the 2021/22 academic year I published a series of threads on the defunct social network Twitter with the hashatag ‘#JuliaPorUnNovato’ and which can be found at this GitHub Repository

In these pages I will try to repost them together with some new idea that I have learned in recent times. My manin focus is Dynamical Systems simulations.

Disclaimer

The code that is included in these pages is provided as is, without any responsibility that it works correctly or that it produces the expected result. It is the responsibility of everyone who runs it to check that it works properly beforehand.

Open source licenses

All document and code is provided under a license Creative Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Contents

• Introduction to Julia for Dynamical Systems. Logistic map.. [Jupyter Notebook]
• Linear ODEs in Julia [Jupyter Notebook]
• Interactive Logistic Map with Pluto [Pluto Notebook]
• Resonance Tongues for Mathieu Equation [Julia Code]
• Mathieu Functions and Julia DataFrames [Julia Code]
• Discrete Maps using DifferentialEquations.jl [Julia Code]
• Interactive Plotting of Clifford Attractors[Julia Code]
• Ensemble Simulations using DifferentialEquations.jl [Julia Code]
• Ensemble Simulations with MultiThreading. Periodically Forced Pendulum[Julia Code]