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Artículo
Gradient Infinite-Dimensional Random Dynamical Systems
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Langa Rosado, José Antonio | |
dc.creator | Liu, Zenxhin | |
dc.date.accessioned | 2015-04-08T10:27:10Z | |
dc.date.available | 2015-04-08T10:27:10Z | |
dc.date.issued | 2012 | es |
dc.identifier.issn | 1536-0040 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23674 | |
dc.description.abstract | In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous random Lyapunov function which describes the asymptotic regime of the system. Thus, we are able to analyze the dynamical properties on a random attractor described by its Morse decomposition for infinite-dimensional random dynamical systems. In particular, if a random attractor is characterized by a family of invariant random compact sets, we show the equivalence among the asymptotic stability of this family, the Morse decomposition of the random attractor, and the existence of a random Lyapunov function. | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Siam Journal on Applied Dynamical Systems, 11(4), 1817-1847 | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | es |
dc.subject | Morse decomposition | |
dc.subject | attractor | |
dc.subject | repeller | |
dc.subject | Morse set | |
dc.subject | Lyapunov function | |
dc.subject | random dynamical systems | |
dc.title | Gradient Infinite-Dimensional Random Dynamical Systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | http://dx.doi.org/10.1137/120862752 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23674 |
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