Palestras e Seminários
23/11/2022
14:00
Sala 3-010 / Online
Palestrante: Matheus Cheque Bortolan
Responsável: Estefani Moraes Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminários em Dinâmica não-linear
Resumo: In this lecture we study Morse-Smale semigroups under nonautonomous perturbations, which leads us to introduce the concept of Morse-Smale evolution processes of hyperbolic type, associated with nonautonomous evolutionary equations. They are amongst the dynamically gradient evolution processes with a finite number of hyperbolic global solutions, for which the stable and unstable manifolds intersect transversally. We prove the stability of the phase diagram of the attractors for a small continuously differentiable nonautonomous perturbation of a Morse-Smale semigroup with a finite number of hyperbolic equilibria. This is a joint work with Alexandre N. Carvalho (ICMC-USP), José A. Langa (Universidad de Sevilla) and G. Raugel (in memoriam).
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