Structure of attractors for skew product semiflows

Autor(es)

Bortolan, M. C. ^[1] ; Carvalho, A. N. ^[1] ; Langa, J. A. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville - Spain

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 257, n. 2, p. 490-522, JUL 15 2014.
• Citações Web of Science: 20

Resumo

In this work we study the continuity and structural stability of the uniform attractor associated with non-autonomous perturbations of differential equations. By a careful study of the different definitions of attractor in the non-autonomous framework, we introduce the notion of lifted-invariance on the uniform attractor, which becomes compatible with the dynamics in the global attractor of the associated skew product semiflow, and allows us to describe the internal dynamics and the characterization of the uniform attractors. The associated pullback attractors and their structural stability under perturbations will play a crucial role. (C) 2014 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 12/23724-1 - Dinâmica assintótica de processos de evolução
• Beneficiário: Matheus Cheque Bortolan
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 08/55516-3 - Sistemas dinâmicos não lineares em espaços de dimensão infinita
• Beneficiário: Alexandre Nolasco de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático