dc.creator | Carvalho, Alexandre Nolasco | es |
dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Robinson, James C. | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-07-06T10:22:58Z | |
dc.date.available | 2016-07-06T10:22:58Z | |
dc.date.issued | 2007-05-15 | |
dc.identifier.citation | Carvalho, A.N., Langa Rosado, J.A., Robinson, J.C. y Suárez Fernández, A. (2007). Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Journal of Differential Equations, 236 (2), 570-603. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43236 | |
dc.description.abstract | In this paper we determine the exact structure of the pullback attractors in
non-autonomous problems that are perturbations of autonomous gradient systems with attractors that are the union of the unstable manifolds of a finite set of hyperbolic equilibria. We show that the pullback attractors of the perturbed systems inherit this structure, and are given as the union of the unstable manifolds of a set of hyperbolic global solutions which are the non-autonomous analogues of the hyperbolic equilibria. We also prove, again
parallel to the autonomous case, that all solutions converge as t → +∞ to one of these hyperbolic global solutions. We then show how to apply these results to systems that are asymptotically autonomous as t → −∞ and as t → +∞, and use these relatively simple test cases to illustrate a discussion of possible definitions of a forwards attractor in the non-autonomous case. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 236 (2), 570-603. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jde.2007.01.017 | es |
dc.identifier.doi | 10.1016/j.jde.2007.01.017 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 236 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 570 | es |
dc.publication.endPage | 603 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43236 | |