Seminário de Sistemas Dinâmicos 2023/1

Seminário 12: 18/07/2023

Palestrante: Luiz Fernando Gouveia - IBILCE/UNESP

Título: Holomorphic slow-fast systems

Resumo: In this work, we are concerned with studying the existence of invariant complex manifolds of two-dimensional holomorphic systems. From the geometric theory of singular perturbations we know that if a slow-fast system has associated a normally hyperbolic compact critical manifold, then there exists a smooth locally invariant manifold. However, this smooth manifold does not necessarily have a complex structure. Here, we provide conditions to guarantee the existence of one-dimensional invariant complex manifolds. Consequently, this allows us to establish that the centers, foci, and nodes of the reduced problem are persistent by singular perturbation. The tools used by us are the usual techniques of Fenichel and Briot-Bouquet Theories.

Horário: 10h

O seminário ocorrerá de maneira remota.

Sala virtual: meet.google.com/fvg-pmit-xud