Sumários

Bifurcations and normal forms

27 Novembro 2023, 11:00 Ana Maria Ribeiro Ferreira Nunes


Codimension one bifurcations of  planar vector fields: saddle-node and Hopf.

Problemas

23 Novembro 2023, 17:30 Ana Maria Ribeiro Ferreira Nunes


Lynch Chapter 10 and 5

Analytic methods

20 Novembro 2023, 11:00 Ana Maria Ribeiro Ferreira Nunes


Multiscale perturbation theory.

Hamiltonian systems with one degree of freedom. Liapounov stability method.
Integrable Hamiltonmians in dimension n. Liouville-Arnold theorem. KAM theorem.

Problemas

16 Novembro 2023, 17:30 Ana Maria Ribeiro Ferreira Nunes


Lynch Chapter 4 and 10

Analytic methods for periodic orbits

13 Novembro 2023, 11:00 Ana Maria Ribeiro Ferreira Nunes


Perturbation theory.
Lindsted-Poincaré method.