Tracing orbits on conservative maps

Detalhes bibliográficos
Autor(a) principal: Bessa, Mário
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/13917
Resumo: We explore uniform hyperbolicity and its relation with the pseudo orbit tracing property. This property indicates that a sequence of points which is nearly an orbit (affected with a certain error) may be shadowed by a true orbit of the system. We obtain that, when a conservative map has the shadowing property and, moreover, all the conservative maps in a C1-small neighborhood display the same property, then the map is globally hyperbolic
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spelling Tracing orbits on conservative mapsVolume-preserving mapsPseudo-orbitsShadowingHyperbolicityWe explore uniform hyperbolicity and its relation with the pseudo orbit tracing property. This property indicates that a sequence of points which is nearly an orbit (affected with a certain error) may be shadowed by a true orbit of the system. We obtain that, when a conservative map has the shadowing property and, moreover, all the conservative maps in a C1-small neighborhood display the same property, then the map is globally hyperbolicCIM - InternatIonal Center for MathematicsRepositório AbertoBessa, Mário2023-05-30T16:10:28Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13917engM. Bessa, Tracing orbits on conservative maps, Bulletin CIM 33, 27-31, 2013info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:46:24Zoai:repositorioaberto.uab.pt:10400.2/13917Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:52:51.692358Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Tracing orbits on conservative maps
title Tracing orbits on conservative maps
spellingShingle Tracing orbits on conservative maps
Bessa, Mário
Volume-preserving maps
Pseudo-orbits
Shadowing
Hyperbolicity
title_short Tracing orbits on conservative maps
title_full Tracing orbits on conservative maps
title_fullStr Tracing orbits on conservative maps
title_full_unstemmed Tracing orbits on conservative maps
title_sort Tracing orbits on conservative maps
author Bessa, Mário
author_facet Bessa, Mário
author_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Bessa, Mário
dc.subject.por.fl_str_mv Volume-preserving maps
Pseudo-orbits
Shadowing
Hyperbolicity
topic Volume-preserving maps
Pseudo-orbits
Shadowing
Hyperbolicity
description We explore uniform hyperbolicity and its relation with the pseudo orbit tracing property. This property indicates that a sequence of points which is nearly an orbit (affected with a certain error) may be shadowed by a true orbit of the system. We obtain that, when a conservative map has the shadowing property and, moreover, all the conservative maps in a C1-small neighborhood display the same property, then the map is globally hyperbolic
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2023-05-30T16:10:28Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/13917
url http://hdl.handle.net/10400.2/13917
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv M. Bessa, Tracing orbits on conservative maps, Bulletin CIM 33, 27-31, 2013
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv CIM - InternatIonal Center for Mathematics
publisher.none.fl_str_mv CIM - InternatIonal Center for Mathematics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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