MATH 29904. CHAOTIC DYNAMICAL SYSTEMS This course is an introduction to chaotic dynamical systems through theory and computer experimentation. We begin by examining discrete dynamical systems - orbits, fixed and periodic points, and bifurcations - both graphically and numerically; and transition to Devaneys definition of chaos (transitivity, dense periodic points, sensitive dependence on initial conditions). We will also build up analytic tools, including fractal geometry and a little bit of complex analysis to end the course with dynamics in the complex plane, Julia sets, and the Mandelbrot set.
- Profesor: Subhadip Chowdhury