This course is devoted to Floquet 's theory and Liapunov exponents, Liouville 's Theorem and its applications, Standard Symplectic Form, Symplectic and Infinitesimally Symplectic Transformaions in R^{2n}, Hamiltonian Vector Fields, Reversible Systems and Infinitesimally Reversible Linear Maps, Symbolic Dynamics and the Shift Map, Chaos and Strange Attractors, an introduction to Slow-Fast Systems and singular perturbation theory.
Files
| Attachment | Size |
|---|---|
| perko2001_0.pdf | 7.11 MB |
| wigginsdynamical_systems_0.pdf | 19.23 MB |
| dumortier_llibre_artes-qualitative_theory_of_planar_differential_systems.pdf | 4.21 MB |