Seminário de Sistemas Dinâmicos 2023/2

Seminário 14: 30/01/2024

Título do seminário: Polar Blow-Up Applied to Regularized Planar Filippov's Fields
Ministrante: Me. Luan Lima da Silva - IME/UFG
Data: 30/01/2024
Horário: 11h
Local: Auditório do IME

Resumo: The aim of the seminar is to present how the change of semi-cylindrical coordinates can be applied to the study of the dynamics of regularized Filippov’s fields. Under certain hypotheses, we can show how the change of coordinates produces a fast-slow vector field and then apply Fenichel’s theory to obtain information about the dynamics of the regularized Filippov’s field. One of the highlights of this method is to show how the results of the dynamics can be independent of the choice of transition function. The essence of this study is similar to the Blow-up method applied to the analysis of the dynamics of non-hyperbolic equilibrium points for planar polynomial fields.