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Fall 2013 Applied Mathematics E4101 section 001 APPL MATH III:DYNAMICAL SYSTMS | |
| Call Number | 27495 |
| Day & Time Location |
MW 8:40am-9:55am To be announced |
| Points | 3 |
| Approvals Required | None |
| Instructor | Michael I Weinstein |
| Type | LECTURE |
| Course Description | Prerequisites: APMA E2101 (or MATH V1210) and APMA E3101 or their equivalents, or permission of the instructor. 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 Theorem); 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 | CourseWorks |
| Department | Applied Physics and Applied Mathematics |
| Enrollment | 40 students (80 max) as of 11:21PM Monday, May 20, 2013 |
| Subject | Applied Mathematics |
| Number | E4101 |
| Section | 001 |
| Division | School of Engineering and Applied Science: Graduate |
| Open To | Columbia College, Engineering and Applied Science, General Studies, Barnard, Graduate School of Arts and Science, Engineering and Applied Science: Graduate |
| Campus | Morningside |
| Section key | 20133APMA4101E001 |
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