Sumários

Lecture

21 Novembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Bifurcation theory: Codimension 1 Bifurcations of planar vector fields Normal forms.

Hamiltonian systems

19 Novembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Hamiltonian systems and Liouville's theorem. Integrable Hamiltonian sytems. Liouville-Arnol'd's theorem. KAM theorem.

Lecture

14 Novembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Methods for periodic orbits: Analytic methods:

Lindsted-Poincaré method. Multiscale pertubative methods. 

Methods for periodic orbits

12 Novembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Topological methods: Poincaré's compactification. 

Analytic methods: introduction to perturbation theory.

Problem session

7 Novembro 2025, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Discussion of solved problems from the texbook end of chapter lists.