STRUCTURE AND BIFURCATION OF PULLBACK ATTRACTORS IN A NON-AUTONOMOUS CHAFEE-INFANTE EQUATION.
In: Proceedings of the American Mathematical Society, Jg. 140 (2012-07-01), Heft 7, S. 2357-2373
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Zugriff:
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 + λu - β(t)u 3 , 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. [ABSTRACT FROM AUTHOR]
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Titel: |
STRUCTURE AND BIFURCATION OF PULLBACK ATTRACTORS IN A NON-AUTONOMOUS CHAFEE-INFANTE EQUATION.
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Autor/in / Beteiligte Person: | Carvalho, A. N. ; Langa, J. A. ; Robinson, J. C. |
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Zeitschrift: | Proceedings of the American Mathematical Society, Jg. 140 (2012-07-01), Heft 7, S. 2357-2373 |
Veröffentlichung: | 2012 |
Medientyp: | academicJournal |
ISSN: | 0002-9939 (print) |
DOI: | 10.1090/S0002-9939-2011-11071-2 |
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