MATH 527 Chaotic Dynamics

Periodic points, fixed points, bifurcation, 1-dimensional chaos, Cantor sets, 2-dimensional chaos, dynamics of linear functions, nonlinear maps, fractals, capacity dimension, Lyapunov dimension, Julia sets and the Mandelbrot set, iterated function systems, systems of differential equations, the Lorenz system.

Credits

3

Prerequisite

MATH 222