Course Description for Dynamical Systems
Prerequisite: MAC 2313, MAP 2302, and MAS 3105
Description: This course covers the fundamentals of dynamical systems in (continuous time) nonlinear ODEs and in (discrete time) nonlinear maps. Topics include phase portraits, periodic points, trajectories, sources/sinks/saddles, stability, bifurcations, chaotic attractor, iteration, fixed points, and Lyapunov exponents. Applications will be drawn from biology, physics, or engineering.