APMA E4101 Introduction to Dynamical Systems. 3 points.
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