On shadowing and hyperbolicity for geodesic flows on surfaces

Bibliographic Details
Main Author: Bessa, Mário
Publication Date: 2017
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/10400.5/28899
Summary: We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C ² -robustly on the metric. Similar results are obtained when considering even feeble properties like the weak shadowing and the specification properties. Despite the Hamiltonian nature of the geodesic flow, the arguments in the present paper differ completely from those used in Bessa et al. (2013) for Hamiltonian systems.
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spelling On shadowing and hyperbolicity for geodesic flows on surfacesGeodesic FlowHyperbolic SetsShadowingSpecificationWe prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C ² -robustly on the metric. Similar results are obtained when considering even feeble properties like the weak shadowing and the specification properties. Despite the Hamiltonian nature of the geodesic flow, the arguments in the present paper differ completely from those used in Bessa et al. (2013) for Hamiltonian systems.ElsevierRepositório da Universidade de LisboaBessa, MárioDias, João LopesTorres, Maria Joana2023-10-06T11:18:27Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/28899engBessa, Mário, João Lopes Dias and Maria Joana Torres .(2017). “On shadowing and hyperbolicity for geodesic flows on surfaces”. Nonlinear Analysis Volume 155: pp. 250-263 (Search PDF in 2023)0362-546Xdoi.org/10.1016/j.na.2017.02.006info: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:RCAAP2025-03-17T16:26:53Zoai:repositorio.ulisboa.pt:10400.5/28899Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T04:15:10.881732Repositórios 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 On shadowing and hyperbolicity for geodesic flows on surfaces
title On shadowing and hyperbolicity for geodesic flows on surfaces
spellingShingle On shadowing and hyperbolicity for geodesic flows on surfaces
Bessa, Mário
Geodesic Flow
Hyperbolic Sets
Shadowing
Specification
title_short On shadowing and hyperbolicity for geodesic flows on surfaces
title_full On shadowing and hyperbolicity for geodesic flows on surfaces
title_fullStr On shadowing and hyperbolicity for geodesic flows on surfaces
title_full_unstemmed On shadowing and hyperbolicity for geodesic flows on surfaces
title_sort On shadowing and hyperbolicity for geodesic flows on surfaces
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 geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C ² -robustly on the metric. Similar results are obtained when considering even feeble properties like the weak shadowing and the specification properties. Despite the Hamiltonian nature of the geodesic flow, the arguments in the present paper differ completely from those used in Bessa et al. (2013) for Hamiltonian systems.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2023-10-06T11:18:27Z
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/10400.5/28899
url http://hdl.handle.net/10400.5/28899
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bessa, Mário, João Lopes Dias and Maria Joana Torres .(2017). “On shadowing and hyperbolicity for geodesic flows on surfaces”. Nonlinear Analysis Volume 155: pp. 250-263 (Search PDF in 2023)
0362-546X
doi.org/10.1016/j.na.2017.02.006
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
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