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Simulation of the Belousov-Zhabotinski reaction with ASCII characters

Project description

Belousov-Zhabotinsky

About

The python package you never knew you needed! Now you can appreciate all the glory of the Belousov-Zhabotinsky reaction from the comfort of your console window in a state of the art ASCII art rendering. Your life will never be the same!

This a little python script I made for a class sometime ago. You can play around with the equations coefficients and rendering parameters with command line arguments (see usage). Besides the BZ equation there's also the FitzHugh-Nagumo (for Turing patterns), Gray-Scoot and Cahn-Hilard (simulates phase separation) equations.

Theory

The Belousov-Zhabotinsky reaction is the classical examples of non-linear/oscillatory dynamics in chemical systems. The equations that describe the process are reaction-diffusion equations:

BZ Equations:

Numerally you iterate the equations in a 2D grid. The Laplace operator in a discrete grid is simply a convolution.

You can learn more about the Belousov-Zhabotinsky reaction here:

  • Dynamics and Chaos - Steven H. Strogatz

  • Chaotic Dynamics, an introduction - G. L. Baker and J. P. Gollub

Inspired by the following blog posts:

scipy blog

degenerate state

Installation

Should work in any python3 version

Needs numpy and scipy

See piplock file

You can pip install the python module with the following command

pip install --user belousov-zhabotinsky

Usage

$ belousov-zhabotinsky

or

$ python -m belousov-zhabotinsky

Check cli options with:

$ belousov-zhabotinsky --help

You can exit the program by pressing any key

  • Gray-Scott mode requires a terminal size bigger than 100x100 to work properly
  • There's a plot.py script thay can be use to plot the system in matplotlib.

$ python -m belousov-zhabotinsky.plot

Future

  • [x] Fix Gray-Scott
  • [x] Make it faster

My First GitHub project; HOORAY!

Project details


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