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APMA E4101 Introduction to Dynamical Systems. 3 points.

Lect: 3.

Prerequisites: (APMA E2101) and (APMA E3101)

An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Therem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.

Fall 2018: APMA E4101
Course Number Section/Call Number Times/Location Instructor Points Enrollment
APMA 4101 001/68908 T Th 8:40am - 9:55am
313 Fayerweather
Marc Spiegelman 3 72/75