Nonlinear Dynamics and Chaos

Catalog description

This course introduces the theoretical foundations of nonlinear dynamics and chaos. Phase space analysis, bifurcations, routes to chaos, renormalization and universality, fractals and strange attractors are presented for a variety of nonlinear systems including maps and flows. Several examples are used to illustrate the theory, from physics, chemistry, biology , neuroscience, economics and social science. Simulations are used throughout the course either by numerical computations with Matlab, Mathematica, or specific software packages.