Welcome to my Nonlinear Dynamics (Dwighr-Englewood High School) project repository.
- Nonlinear System - Wikipedia
- Newton's Method - Wikipedia
- Logistic Map - Wikipedia
- Mandelbrot Set - Wikipedia
- Koch Snowflake - Wikipedia
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.txtThe 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
Quadratic Equation Explorer
Logistic Map Explorer
Newton's Method Explorer
