MAT Palestras - Análise

Global Attractors and Synchronization of Coupled Critical Lamé Systems

Investigamos os atratores globais e o fenômeno de sincronização de um sistema Lamé crítico acoplado definido em um domínio limitado suave Ω ⊂ R3 com forças não lineares de crescimento crítico.
Mirelson Martins Freitas - Universidade Federal do Pará em 02/12/2022

Abstract

We investigate the global attractors and synchronization phenomenon of a coupled critical Lam ́e system defined on a smooth bounded domain Ω ⊂ R3 with nonlinear forces of critical growth. First, we prove the existence, finiteness of fractal dimension and smoothness of global attractors. Second, we consider dynamics in the coupling coefficient infinity limit κ → ∞ and we show the asymptotic synchronization for the coupled Lam ́e system.

Local e Data

Tema: Global Attractors and Synchronization of Coupled Critical Lamé Systems
Palestrante: Mirelson Martins Freitas - Universidade Federal do Pará
Data: 02/12/22