Morse decomposition of global attractors with infinite components

In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption is equivalent to the existence of an ordered Lyapunov function associated t...

Descripción completa

Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Jara Pérez, Juan Carlos, Langa Rosado, José Antonio, Valero Cuadra, José
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/29021
Acceso en línea:http://hdl.handle.net/11441/29021
https://doi.org/10.3934/dcds.2015.35.2845
Access Level:acceso abierto
Palabra clave:Morse decomposition
infinite components
gradient dynamics
Lyapunov function
gradient-like semigroup
id ES_6ae09ef375566c41688ec89d71a7700a
oai_identifier_str oai:idus.us.es:11441/29021
network_acronym_str ES
network_name_str España
repository_id_str
spelling Morse decomposition of global attractors with infinite componentsCaraballo Garrido, TomásJara Pérez, Juan CarlosLanga Rosado, José AntonioValero Cuadra, JoséMorse decompositioninfinite componentsgradient dynamicsLyapunov functiongradient-like semigroupIn this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption is equivalent to the existence of an ordered Lyapunov function associated to the Morse sets and also to the existence of a Morse decomposition -that is, the global attractor can be described as an increasing family of local attractors and their associated repellers.Ecuaciones Diferenciales y Análisis Numérico2015info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/29021https://doi.org/10.3934/dcds.2015.35.2845reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete and Continuous Dynamical Systems. Series A, 35(7), 2845-2861http://dx.doi.org/10.3934/dcds.2015.35.2845info:eu-repo/semantics/openAccessoai:idus.us.es:11441/290212026-06-17T12:51:07Z
dc.title.none.fl_str_mv Morse decomposition of global attractors with infinite components
title Morse decomposition of global attractors with infinite components
spellingShingle Morse decomposition of global attractors with infinite components
Caraballo Garrido, Tomás
Morse decomposition
infinite components
gradient dynamics
Lyapunov function
gradient-like semigroup
title_short Morse decomposition of global attractors with infinite components
title_full Morse decomposition of global attractors with infinite components
title_fullStr Morse decomposition of global attractors with infinite components
title_full_unstemmed Morse decomposition of global attractors with infinite components
title_sort Morse decomposition of global attractors with infinite components
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Jara Pérez, Juan Carlos
Langa Rosado, José Antonio
Valero Cuadra, José
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Jara Pérez, Juan Carlos
Langa Rosado, José Antonio
Valero Cuadra, José
author_role author
author2 Jara Pérez, Juan Carlos
Langa Rosado, José Antonio
Valero Cuadra, José
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Morse decomposition
infinite components
gradient dynamics
Lyapunov function
gradient-like semigroup
topic Morse decomposition
infinite components
gradient dynamics
Lyapunov function
gradient-like semigroup
description In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption is equivalent to the existence of an ordered Lyapunov function associated to the Morse sets and also to the existence of a Morse decomposition -that is, the global attractor can be described as an increasing family of local attractors and their associated repellers.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/29021
https://doi.org/10.3934/dcds.2015.35.2845
url http://hdl.handle.net/11441/29021
https://doi.org/10.3934/dcds.2015.35.2845
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete and Continuous Dynamical Systems. Series A, 35(7), 2845-2861
http://dx.doi.org/10.3934/dcds.2015.35.2845
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.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
_version_ 1869410143989399552
score 15,300719

Similares en LA Referencia