Sumários

Leslie Matrices

16 Outubro 2026, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Leslie Matrices as discrete dynamical systems.

Presentatin by Ricardo Gaboleiro.


More topological tools for periodic orbits

14 Outubro 2026, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Proof of Bendixson-Poincaré theorem.

Bendixson's and  Dulac's criteria. Poincaré index theorem.
Application examples.


Floquet theory

9 Outubro 2026, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Presentation by Maria Gonçalves and Carolina Batista on Floquet theory and applications in celestial mechanics and condensed matter physics.


Periodic orbits

7 Outubro 2026, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Stability of periodic orbits, alfa and omega limit sets.
Non trivial recurrence, non wandering set, linear flows on the torus.
Topological tools for periodic orbits: statement of Poincaré-Bendixson theorem.


Examples from population dynamics

2 Outubro 2026, 16:00 • Ana Maria Ribeiro Ferreira Nunes

Global dynamics of two competing species.

Lotka-Volterra model for predator prey dynamics.