Sumários

Problems

25 Outubro 2024, 16:00 Ana Maria Ribeiro Ferreira Nunes

Limit cycles in planar systems.


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.


Problems

11 Outubro 2024, 16:00 Ana Maria Ribeiro Ferreira Nunes

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