Palestras e Seminários
14/06/2019
16:00
auditório Luiz Antonio Favaro (sala 4-111)
Palestrante: Iván Sánchez
Responsável: Gabriel Esteban Perico Monsalve (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminários de Singularidades
Abstract
A well-known problem in dynamical systems is the study of ciclicity, which aims
to find the maximum number of limit cycles bifurcating from a center or a focus.
An analogous problem to study the criticality of an isochronous center, this is
the maximum number of oscillations of its period function when a perturbation
is added to the system. These oscillations are the so-called critical periods. In
this talk I will introduce the period function of a system of differential equations
in the plane. Then I will present our reversible Darboux linearizable systems,
which has allowed us to provide the maximum number of critical periods in a
system so far according to our knowledge.
