Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows

Bibliographic Details
Main Author: Bessa, Mário
Publication Date: 2009
Other Authors: Rocha, Jorge
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.2/13840
Summary: We prove that a volume-preserving three-dimensional flow can be C 1 -approximated by a volume-preserving Anosov flow or else by another volume-preserving flow exhibiting a homoclinic tangency. This proves the conjecture of Palis for conservative 3-flows and with respect to the C1-topology.
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spelling Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flowsVolume-preserving flowsAnosov flowsHomoclinic tangenciesWe prove that a volume-preserving three-dimensional flow can be C 1 -approximated by a volume-preserving Anosov flow or else by another volume-preserving flow exhibiting a homoclinic tangency. This proves the conjecture of Palis for conservative 3-flows and with respect to the C1-topology.ElsevierRepositório AbertoBessa, MárioRocha, Jorge2023-05-25T10:53:02Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13840eng0022-039610.1016/j.jde.2009.07.020info: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:RCAAP2025-02-26T09:35:09Zoai:repositorioaberto.uab.pt:10400.2/13840Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T21:02:36.736090Repositórios 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 Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
title Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
spellingShingle Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
Bessa, Mário
Volume-preserving flows
Anosov flows
Homoclinic tangencies
title_short Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
title_full Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
title_fullStr Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
title_full_unstemmed Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
title_sort Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
author Bessa, Mário
author_facet Bessa, Mário
Rocha, Jorge
author_role author
author2 Rocha, Jorge
author2_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Bessa, Mário
Rocha, Jorge
dc.subject.por.fl_str_mv Volume-preserving flows
Anosov flows
Homoclinic tangencies
topic Volume-preserving flows
Anosov flows
Homoclinic tangencies
description We prove that a volume-preserving three-dimensional flow can be C 1 -approximated by a volume-preserving Anosov flow or else by another volume-preserving flow exhibiting a homoclinic tangency. This proves the conjecture of Palis for conservative 3-flows and with respect to the C1-topology.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2023-05-25T10:53:02Z
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/10400.2/13840
url http://hdl.handle.net/10400.2/13840
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-0396
10.1016/j.jde.2009.07.020
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
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repository.mail.fl_str_mv info@rcaap.pt
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