dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Carvalho, Alexandre Nolasco | es |
dc.creator | Barbosa da Costa, Henrique | es |
dc.creator | Langa Rosado, José Antonio | es |
dc.date.accessioned | 2017-01-24T13:25:54Z | |
dc.date.available | 2017-01-24T13:25:54Z | |
dc.date.issued | 2016-11 | |
dc.identifier.citation | Caraballo Garrido, T., Carvalho, A.N., Barbosa da Costa, H. y Langa Rosado, J.A. (2016). Equi-attraction and continuity of attractors for skew-product semiflows. Discrete and Continuous Dynamical Systems - Series B, 21 (9), 2949-2967. | |
dc.identifier.issn | 1531-3492 | es |
dc.identifier.issn | 1553-524X | es |
dc.identifier.uri | http://hdl.handle.net/11441/52679 | |
dc.description.abstract | In this paper we prove the equivalence between equi-attraction and continuity of attractors for skew-product semi-flows, and equi-attraction and continuity of uniform and cocycle attractors associated to non-autonomous dynamical systems. To this aim proper notions of equi-attraction have to be introduced in phase spaces where the driving systems depend on a parameter. Results on the upper and lower-semicontinuity of uniform and
cocycle attractors are relatively new in the literature, as a deep understanding of the internal structure of these sets is needed, which is generically difficult to obtain. The notion of lifted invariance for uniform attractors allows us to compare the three types of attractors
and introduce a common framework in which to study equi-attraction and continuity of attractors. We also include some results on the rate of attraction to the associated attractors. | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior | es |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Proyecto de Excelencia (Junta de Andalucía) | es |
dc.description.sponsorship | International Research Staff Exchange Scheme (European Union) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical Sciences | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series B, 21 (9), 2949-2967. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Equi-attraction | es |
dc.subject | Continuity of attractors | es |
dc.subject | Skew-product semiflows | es |
dc.title | Equi-attraction and continuity of attractors for skew-product semiflows | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | 305230/2011-5 | es |
dc.relation.projectID | 238/2011 | es |
dc.relation.projectID | 2008/55516-3 | es |
dc.relation.projectID | MTM2011-22411 | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.date.embargoEndDate | 2017-11 | |
dc.relation.publisherversion | https://www.aimsciences.org/journals/pdfs.jsp?paperID=13212&mode=full | es |
dc.identifier.doi | 10.3934/dcdsb.2016081 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 18 p. | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems - Series B | es |
dc.publication.volumen | 21 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 2949 | es |
dc.publication.endPage | 2967 | es |