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.
|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)|