Sumários
Topological methods for periodic orbits
23 Outubro 2023, 11:00 • Ana Maria Ribeiro Ferreira Nunes
Poincaré-Bendixon theorem: statement, proof and examples.
Problems
19 Outubro 2023, 17:30 • Ana Maria Ribeiro Ferreira Nunes
Discussion of solved problems from the texbook end of chapter lists.
Limit cycles of planar systems
16 Outubro 2023, 11:00 • Ana Maria Ribeiro Ferreira Nunes
Eamples from population dynamics.
Relaxation oscillations.
Linear approximation for hyperbolic equilibria
9 Outubro 2023, 11:00 • Ana Maria Ribeiro Ferreira Nunes
General solution of linear systems in arbitrary dimension.
Nonlinear systems in the plane. Hartman-Grobman theorem.
Phase portraits of planar systems: a few examples.