Carvalho, Alexandre Nolasco de, Langa, José A. and Robinson, James C. (James Cooper), 1969-. (2012) Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation. Proceedings of the American Mathematical Society, Vol.140 (No.7). pp. 2357-2373. ISSN 0002-9939

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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, ut = uxx + λu - β(t)u3, and investigate the bifurcations that this attractor undergoes as λ 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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Attractors (Mathematics)
Journal or Publication Title:	Proceedings of the American Mathematical Society
Publisher:	American Mathematical Society
ISSN:	0002-9939
Date:	2012
Volume:	Vol.140
Number:	No.7
Page Range:	pp. 2357-2373
Identification Number:	10.1090/S0002-9939-2011-11071-2
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil. Coordenação do Aperfeiçoamento de Pessoal de Nível Superior (CAPES), Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Grant number:	302022/2008-2 (CNPq), 267/2008 (CAPES/DGU), 2008/55516-3 (FAPESP)
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URI:	http://wrap.warwick.ac.uk/id/eprint/43970

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