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Hyperbolicity through stable shadowing for generic geodesic flows

Bibliographic Details
Main Author: Bessa, Mário
Publication Date: 2020
Other Authors: Dias, João Lopes, Torres, Maria Joana
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.5/28888
Summary: We prove that the closure of the closed orbits of a generic geodesic flow on a closed Riemannian n ≥ 2 dimensional manifold is a uniformly hyperbolic set if the shadowing property holds C²- -robustly on the metric. We obtain analogous results using weak specification and the shadowing property allowing bounded time reparametrization.
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spelling Hyperbolicity through stable shadowing for generic geodesic flowsGeodesic FlowHyperbolic SetsShadowingSpecificationWe prove that the closure of the closed orbits of a generic geodesic flow on a closed Riemannian n ≥ 2 dimensional manifold is a uniformly hyperbolic set if the shadowing property holds C²- -robustly on the metric. We obtain analogous results using weak specification and the shadowing property allowing bounded time reparametrization.ElsevierRepositório da Universidade de LisboaBessa, MárioDias, João LopesTorres, Maria Joana2023-10-04T13:24:00Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/28888engBessa, Mário, João Lopes Dias and Maria Joana Torres .(2020). “Hyperbolicity through stable shadowing for generic geodesic flows”. Physica D: Nonlinear Phenomena 406, 132423. (Search PDF in 2023)0167-2789doi.org/10.1016/j.physd.2020.132423 0167-2789info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-17T16:20:56Zoai:repositorio.ulisboa.pt:10400.5/28888Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T04:10:57.146514Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Hyperbolicity through stable shadowing for generic geodesic flows
title Hyperbolicity through stable shadowing for generic geodesic flows
spellingShingle Hyperbolicity through stable shadowing for generic geodesic flows
Bessa, Mário
Geodesic Flow
Hyperbolic Sets
Shadowing
Specification
title_short Hyperbolicity through stable shadowing for generic geodesic flows
title_full Hyperbolicity through stable shadowing for generic geodesic flows
title_fullStr Hyperbolicity through stable shadowing for generic geodesic flows
title_full_unstemmed Hyperbolicity through stable shadowing for generic geodesic flows
title_sort Hyperbolicity through stable shadowing for generic geodesic flows
author Bessa, Mário
author_facet Bessa, Mário
Dias, João Lopes
Torres, Maria Joana
author_role author
author2 Dias, João Lopes
Torres, Maria Joana
author2_role author
author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Bessa, Mário
Dias, João Lopes
Torres, Maria Joana
dc.subject.por.fl_str_mv Geodesic Flow
Hyperbolic Sets
Shadowing
Specification
topic Geodesic Flow
Hyperbolic Sets
Shadowing
Specification
description We prove that the closure of the closed orbits of a generic geodesic flow on a closed Riemannian n ≥ 2 dimensional manifold is a uniformly hyperbolic set if the shadowing property holds C²- -robustly on the metric. We obtain analogous results using weak specification and the shadowing property allowing bounded time reparametrization.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
2023-10-04T13:24:00Z
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/10400.5/28888
url http://hdl.handle.net/10400.5/28888
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bessa, Mário, João Lopes Dias and Maria Joana Torres .(2020). “Hyperbolicity through stable shadowing for generic geodesic flows”. Physica D: Nonlinear Phenomena 406, 132423. (Search PDF in 2023)
0167-2789
doi.org/10.1016/j.physd.2020.132423 0167-2789
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833601971545702400

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