Courses:

Nonlinear Dynamics and Chaos >> Content Detail



Calendar / Schedule



Calendar

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


TOPIC #Topics
1One-Dimensional Systems and Elementary Bifurcations (about two weeks)
2Two-Dimensional Systems; Phase Plane Analysis, Limit Cycles, Poincaré-Bendixson Theory (about two weeks)
3Nonlinear Oscillators, Qualitative and Approximate Asymptotic Techniques, Hopf Bifurcations (about two weeks)
4Lorenz and Rossler Equations, Chaos, Strange Attractors and Fractals (about 2.5 weeks)
5Iterated Mappings, Period-Doubling, Chaos, Renormalization, Universality (about 1.5 weeks)
6Hamiltonian Systems; Complete Integrability and Ergodicity (about 1.5 weeks)
7Area Preserving Mappings, KAM Theory (about 1.5 weeks)

 








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