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