STRUCTURE AND BIFURCATION OF PULLBACK ATTRACTORS IN A NON-AUTONOMOUS CHAFEE-INFANTE EQUATION

Autor(es)

Carvalho, A. N. ^[1] ; Langa, J. A. ^[2] ; Robinson, J. C. ^[3]

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

^[3] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands - England

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 140, n. 7, p. 2357-2373, JUL 2012.
• Citações Web of Science: 4

Resumo

The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for which a complete description of the global attractor is available. In this paper we study the structure of the pullback attractor for a non-autonomous version of this equation, u(t) = u(xx) + lambda(xx) - lambda u beta(t)u(3), and investigate the bifurcations that this attractor undergoes as A is varied. We are able to describe these in some detail, despite the fact that our model is truly non-autonomous; i.e., we do not restrict to `small perturbations' of the autonomous case. (AU)

• 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