Course Description Course Description
| Applied Mathematics 303a/b Nonlinear Ordinary Differential Equations and Chaos |
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Existence and uniqueness of solutions, phase space, singular points, stability, periodic attractors, Poincaré-Bendixson theorem, examples from physics, biology and engineering, frequency (phase) locking, parametric resonance, Floquet theory, stability of periodic solutions, strange attractors and chaos, Lyapunov exponents, chaos in nature, fractals. |
| Prerequisites: Differential Equations 215a, Calculus 251a/b or 281a/b, and Linear Algebra 040a/b. |
| 3 lecture hours, half course. |
| Academic Calendar |
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