Structure of the pullback attractor for a non-autonomous scalar differential inclusion

The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail the structure and internal dynamics of a scalar...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Langa Rosado, José Antonio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2016
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/44886
Acceso en línea:http://hdl.handle.net/11441/44886
https://doi.org/10.3934/dcdss.2016037
Access Level:acceso abierto
Palabra clave:Non-autonomous dynamical systems
Differential inclusion
Pullback attractor
Structure of the attracor
Multivalued dynamical systems
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spelling Structure of the pullback attractor for a non-autonomous scalar differential inclusionCaraballo Garrido, TomásLanga Rosado, José AntonioNon-autonomous dynamical systemsDifferential inclusionPullback attractorStructure of the attracorMultivalued dynamical systemsThe structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail the structure and internal dynamics of a scalar differential equation, both in the autonomous and nonautonomous cases. To this aim, we will also show a general result on the characterization of a pullback attractor for a multivalued process by the union of all the complete bounded trajectories of the system.Fondo Europeo de Desarrollo RegionalMinisterio de Economía y CompetitividadJunta de AndalucíaBrazilian-European partnership in Dynamical SystemsFundación Séneca-Agencia de Ciencia y Tecnología de la Region de MurciaAmerican Institute of Mathematical SciencesEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/44886https://doi.org/10.3934/dcdss.2016037reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete and Continuous Dynamical Systems - Series S, 9 (4), 979-994.info:eu-repo/grantAgreement/MINECO/MTM2015- 63723-P/info:eu-repo/grantAgreement/MINECO/MTM2012-31698/P12-FQM-1492info:eu-repo/grantAgreement/EC/FP7/31899919294/PI/14https://aimsciences.org/journals/pdfs.jsp?paperID=12854&mode=fullinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/448862026-06-17T12:51:07Z
dc.title.none.fl_str_mv Structure of the pullback attractor for a non-autonomous scalar differential inclusion
title Structure of the pullback attractor for a non-autonomous scalar differential inclusion
spellingShingle Structure of the pullback attractor for a non-autonomous scalar differential inclusion
Caraballo Garrido, Tomás
Non-autonomous dynamical systems
Differential inclusion
Pullback attractor
Structure of the attracor
Multivalued dynamical systems
title_short Structure of the pullback attractor for a non-autonomous scalar differential inclusion
title_full Structure of the pullback attractor for a non-autonomous scalar differential inclusion
title_fullStr Structure of the pullback attractor for a non-autonomous scalar differential inclusion
title_full_unstemmed Structure of the pullback attractor for a non-autonomous scalar differential inclusion
title_sort Structure of the pullback attractor for a non-autonomous scalar differential inclusion
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Langa Rosado, José Antonio
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Langa Rosado, José Antonio
author_role author
author2 Langa Rosado, José Antonio
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Non-autonomous dynamical systems
Differential inclusion
Pullback attractor
Structure of the attracor
Multivalued dynamical systems
topic Non-autonomous dynamical systems
Differential inclusion
Pullback attractor
Structure of the attracor
Multivalued dynamical systems
description The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail the structure and internal dynamics of a scalar differential equation, both in the autonomous and nonautonomous cases. To this aim, we will also show a general result on the characterization of a pullback attractor for a multivalued process by the union of all the complete bounded trajectories of the system.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/44886
https://doi.org/10.3934/dcdss.2016037
url http://hdl.handle.net/11441/44886
https://doi.org/10.3934/dcdss.2016037
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems - Series S, 9 (4), 979-994.
info:eu-repo/grantAgreement/MINECO/MTM2015- 63723-P/
info:eu-repo/grantAgreement/MINECO/MTM2012-31698/
P12-FQM-1492
info:eu-repo/grantAgreement/EC/FP7/318999
19294/PI/14
https://aimsciences.org/journals/pdfs.jsp?paperID=12854&mode=full
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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