Palestras e Seminários
11/11/2020
16:00
meet.google.com/rvg-xxwp-mnn
Palestrante: Alexandre do Nascimento Oliveira Sousa
Responsável: Estefani Moraes Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminário em Dinâmica não-linear
Resumo: In this work we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random perturbations. For the linear case, we study robustness and existence of exponential dichotomies for nonautonomous random dynamical systems. Next, we establish a result on the persistence of hyperbolic equilibria for nonlinear differential equations. We show that for each nonautonomous random perturbation of an autonomous semilinear problem with an hyperbolic equilibrium there exists a bounded random hyperbolic solution for the associated nonlinear nonautonomous random dynamical systems. Moreover, we show that these random hyperbolic solutions converge to the autonomous equilibrium.
