Nonlinear Dynamics

Welcome to my Nonlinear Dynamics (Dwighr-Englewood High School) project repository.

Learn

• Nonlinear System - Wikipedia
• Newton's Method - Wikipedia
• Logistic Map - Wikipedia
• Mandelbrot Set - Wikipedia
• Koch Snowflake - Wikipedia

Running My Code

This code is written in Python and works off of the DEGraphics library included in the /lib folder. Make sure that this /lib folder is in the running directory before you try to run one of the projects.

You may need to install libraries for some projects (if it has a requirements.txt file). To do this, run the following command in the running directory:

  pip3 install -r requirements.txt

Projects

The following projects are included in the repository folder:

• Quadratic Equation Explorer
  • This explores the quadratic equation and its roots
• Logistic Map Explorer
  • This explores parts of the logistic map like the bifurcation diagram and the time-series plot
• Newton's Method Explorer
  • This explores the behavior of Newton's Method on various points on the screen
• Mandelbrot Set Explorer
  • Explores the fractal geometry and behavior of the Mandelbrot and Julia Sets
• Koch Curve Explorer
  • Explores the Koch curve and snowflake through a recursive process

Images

Quadratic Equation Explorer Logistic Map Explorer Newton's Method Explorer