In addition to the topics below, we may have time for other topics, such as: Infinite Dimensional Hamiltonian Systems, On-Off Dissipative Systems, etc.
Calendar
| 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) |