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dc.contributor.authorCaraballo Garrido, Tomás
dc.contributor.authorLanga Rosado, José Antonio
dc.contributor.authorObaya García, Rafael 
dc.date.accessioned2017-09-19T16:53:12Z
dc.date.available2017-09-19T16:53:12Z
dc.date.issued2017
dc.identifier.citationNonlinearity 30 (2017), no.1, 274-299es
dc.identifier.issn951-7715es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/25748
dc.descriptionProducción Científicaes
dc.description.abstractThe global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour of the model. This attractor is usually characterized as the union, for all the parameters in the base space, of the associated cocycle attractors in the product space. The continuity of the cocycle attractor in the parameter is usually a difficult question. In this paper we develop in detail a 1D non-autonomous linear differential equation and show the richness of non-autonomous dynamics by focusing on the continuity, characterization and chaotic dynamics of the cocycle attractors. In particular, we analyse the sets of continuity and discontinuity for the parameter of the attractors, and relate them with the eventually forward behaviour of the processes. We will also find chaotic behaviour on the attractors in the Li–Yorke and Auslander–Yorke senses. Note that they hold for linear 1D equations, which shows a crucial difference with respect to the presence of chaotic dynamics in autonomous systems.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherIOPPublishinges
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titlePullback, forward and chaotic dynamics in 1d nonautonomous linear-dissipative equationses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1088/1361-6544/30/1/274es
dc.relation.publisherversionhttp://iopscience.iop.org/issue/0951-7715/30/1es
dc.peerreviewedSIes
dc.description.projectMINECO/FEDER MTM2015- 66330-Pes
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/643073
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International


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