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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Carvalho, A. N. [1] ; Langa, J. A. [2] ; Robinson, J. C. [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 140, n. 7, p. 2357-2373, JUL 2012.
Web of Science Citations: 4
Abstract

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)