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Robustness of dynamically gradient multivalued dynamical systems

dc.creatorCaballero Toro, Rubénes
dc.creatorCarvalho, Alexandre Nolascoes
dc.creatorMarín Rubio, Pedroes
dc.creatorValero Cuadra, Josées
dc.date.accessioned2019-03-11T12:34:08Z
dc.date.available2019-03-11T12:34:08Z
dc.date.issued2019-03
dc.identifier.citationCaballero Toro, R., Carvalho, A.N., Marín Rubio, P. y Valero Cuadra, J. (2019). Robustness of dynamically gradient multivalued dynamical systems. Discrete and Continuous Dynamical Systems - Series B, 24 (3), 1049-1077.
dc.identifier.issn1531-3492es
dc.identifier.issn1553-524Xes
dc.identifier.urihttps://hdl.handle.net/11441/84141
dc.description.abstractIn this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a differential inclusion studied in J. M. Arrieta, A. Rodríguez-Bernal and J. Valero, Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity, International Journal of Bifurcation and Chaos, 16 (2006), 2965-2984, proving that the weak solutions of these problems generate a dynamically gradient multivalued semiflow with respect to suitable Morse sets.es
dc.description.sponsorshipMinisterio de Educación, Cultura y Deportees
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.description.sponsorshipJunta de Andalucíaes
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Pauloes
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológicoes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherAmerican Institute of Mathematical Scienceses
dc.relation.ispartofDiscrete and Continuous Dynamical Systems - Series B, 24 (3), 1049-1077.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectAttractorses
dc.subjectReaction-diffusion equationses
dc.subjectStabilityes
dc.subjectDynamically gradient multivalued semiflowses
dc.subjectMorse decompositiones
dc.subjectSet-valued dynamical systemses
dc.titleRobustness of dynamically gradient multivalued dynamical systemses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDFPU15/03080es
dc.relation.projectIDPHB2010-0002-PCes
dc.relation.projectIDMTM2015-63723-Pes
dc.relation.projectIDP12-FQM-1492es
dc.relation.projectID2018/10997-6es
dc.relation.projectID303929/2015-4es
dc.relation.projectIDMTM2016-74921-Pes
dc.relation.publisherversionhttp://www.aimsciences.org/article/doi/10.3934/dcdsb.2019006es
dc.identifier.doi10.3934/dcdsb.2019006es
dc.contributor.groupUniversidad de Sevilla. FQM-314: Análisis Estocástico de Sistemas Diferencialeses
idus.format.extent29 p.es
dc.journaltitleDiscrete and Continuous Dynamical Systems - Series Bes
dc.publication.volumen24es
dc.publication.issue3es
dc.publication.initialPage1049es
dc.publication.endPage1077es

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