| Call Number | 14623 |
|---|---|
| Day & Time Location |
MW 8:40am-9:55am To be announced |
| Points | 3 |
| Grading Mode | Standard |
| Approvals Required | None |
| Instructor | Xuenan Li |
| Type | LECTURE |
| Method of Instruction | In-Person |
| Course Description | 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. |
| Web Site | Vergil |
| Department | Applied Physics and Applied Mathematics |
| Enrollment | 55 students (86 max) as of 6:06PM Thursday, January 2, 2025 |
| Subject | Applied Mathematics |
| Number | E4101 |
| Section | 001 |
| Division | School of Engineering and Applied Science: Graduate |
| Open To | Columbia College, Engineering:Undergraduate, Engineering:Graduate, GSAS, General Studies |
| Section key | 20251APMA4101E001 |