In addition to the topics below, we may have time for other topics, such as: Floquet Theory, Infinite Dimensional Hamiltonians, On-Off Dissipative Systems, etc.
| TOPIC # | TOPICS |
|---|---|
| 1 | One-dimensional Systems and Elementary Bifurcations (about two weeks) |
| 2 | Two-dimensional Systems; Phase Plane Analysis, Limit Cycles, Poincaré-Bendixson Theory (about two weeks) |
| 3 | Nonlinear Oscillators, Qualitative and Approximate Asymptotic Techniques, Hopf Bifurcations (about two weeks) |
| 4 | Lorenz and Rossler Equations, Chaos, Strange Attractors and Fractals (about 2.5 weeks) |
| 5 | Iterated Mappings, Period-doubling, Chaos, Renormalization, Universality (about 1.5 weeks) |
| 6 | Hamiltonian Systems; Complete Integrability and Ergodicity (about 1.5 weeks) |
| 7 | Area Preserving Mappings, KAM Theory (about 1.5 weeks) |