Sumários

Lecture 13

24 Maio 2018, 15:00 • Ana Maria Ribeiro Ferreira Nunes

Integrable and non integrable Hamiltonian systems.

The horseshoe map and Smale-Birkhoff theorem.

Lecture 12

17 Maio 2018, 15:00 • Ana Maria Ribeiro Ferreira Nunes

Center manifold and stability of non-hyperbolic points.

Chaotic behaviour in 3D flows. The Lorenz attractor.
Flows and maps: the Poincaré map.

Lecture 11

10 Maio 2018, 15:00 • Ana Maria Ribeiro Ferreira Nunes

Flows in dimension 3. Stable and unstable  invariant manifolds. Center manifold.

Lecture 10

3 Maio 2018, 15:00 • Ana Maria Ribeiro Ferreira Nunes

Saddle node and Hopf bifurcations.

Gobal bifurcations. Homoclinic bifurcation.

Lecture 9

26 Abril 2018, 15:00 • Ana Maria Ribeiro Ferreira Nunes

Liapounov functions.

Non-hyperbolic equilibria and normal forms for vector fields in the plane.