Introduction to Chaotic Dynamical Systems

Math 204 ST, Spr 2024

This course is an introduction to chaotic dynamical systems through theory and computer experimentation. We begin by examining discrete dynamical systems, bifurcations, and transitions to chaos. We will build up analytic tools, including fractal geometry and a little complex analysis to end the course with dynamics in the complex plane, Julia sets and the Mandelbrot set. Prerequisites: Mathematics 126.
A link to Amazon.com's website for the textbook.
We'll be using ``A first course in chaotic dynamical systems", by Professor Robert Devaney, at Boston University.