Sumários
Methods for periodic orbits.
30 Outubro 2024, 16:00 • Ana Maria Ribeiro Ferreira Nunes
Topological methods: Poincaré's compactification.
Analytic methods: introduction to perturbation theory.
Topological methods
23 Outubro 2024, 16:00 • Ana Maria Ribeiro Ferreira Nunes
Non-wandering set. Linear flows on the torus.
Liénard's theorem.
Problems
18 Outubro 2024, 16:00 • Ana Maria Ribeiro Ferreira Nunes
Van der Pol relaxation oscillations.
Topological methods for periodic orbits
16 Outubro 2024, 16:00 • Ana Maria Ribeiro Ferreira Nunes
Proof of Bendixon-Poincaré Theorem.
Bendixon theorem and Dulac criterium.
Poincaré index and Poincaré-Hopf theorem.