Sumários

Periodic Orbits

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

Examples from population dynamics. 

Relaxation oscillations.
Alfa and omega limit sets, stability of limit cycles.


Problems

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

Problems from Lynch chapter 2


Planar Systems

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

Nonlinear systems in the plane. Hartman-Grobman theorem. Phase portraits of planar systems: a few examples.


Solutions to selected problems

27 Setembro 2024, 16:00 Ana Maria Ribeiro Ferreira Nunes

Problems, analytic solutions of ODEs, existence and uniqueness. 


Planar systems

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

Phase space, orbits and phase portraits. Classification of linear systems in the plane. Jordan canonical form for a general matrix.