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APMA E4101 APPL MATH III:DYNAMICAL SYSTMS. 3.00 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
Spring 2022: APMA E4101
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
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APMA 4101 | 001/12906 | M W 8:40am - 9:55am 451 Computer Science Bldg |
Amir Sagiv | 3.00 | 76/86 |