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2018-2019 Catalog
MAP 4314: Dynamical Systems

Course Description for Dynamical Systems

MAP4314: 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.