AM224: Applied Dynamical Systems

Graduate-level course in dynamical systems theory, focusing on n-dimensional continuous dynamical systems. Covers fixed points, stability (linear and Lyapunov), normal forms, center manifold theorem, Liouville theorem, reversible and gradient flows, conservative systems, and quantitative characterization of chaos. Enrollment is restricted to graduate students or by permission of instructor. An introductory course in dynamical systems theory (e.g. AM 114 or MATH 145 or AM 214), partial differential equations (e.g. AM 112 or MATH 107) as well as experience with programming and scientific computing using Matlab or Python, are strongly recommended.

5 credits

Year Fall Winter Spring Summer

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