AMATH 575
Dynamical Systems
Overview of ways in which complex dynamics arise in nonlinear dynamical systems. Topics include bifurcation theory, universality, Poincare maps, routes to chaos, horseshoe maps, Hamiltonian chaos, fractal dimensions, Liapunov exponents, and the analysis of time series. Examples from biology, mechanics, and other fields. Prerequisite: either AMATH 502 or permission of instructor. Offered: Sp, odd years.
Topics
- bifurcation theory
- universality
- Poincare maps
- routes to chaos
- horseshoe maps
- Hamiltonian chaos
- fractal dimensions
- Liapunov exponents
- and the analysis of time series
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗Current public catalogue; retrieved 2026-11-05