On C1-robust transitivity of volume-preserving flows

Bibliographic Details
Main Author: Bessa, Mário
Publication Date: 2008
Other Authors: Rocha, Jorge
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.2/13839
Summary: We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is smooth enough then the linear Poincaré flow associated to it admits a dominated splitting over M.
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spelling On C1-robust transitivity of volume-preserving flowsVolume-preserving flowsRobust transitivityDominated splittingErgodicityWe prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is smooth enough then the linear Poincaré flow associated to it admits a dominated splitting over M.ElsevierRepositório AbertoBessa, MárioRocha, Jorge2023-05-25T10:41:19Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13839eng0022-039610.1016/j.jde.2008.02.045info: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:RCAAP2025-02-26T09:37:46Zoai:repositorioaberto.uab.pt:10400.2/13839Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T21:03:46.559025Repositórios 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 C1-robust transitivity of volume-preserving flows
title On C1-robust transitivity of volume-preserving flows
spellingShingle On C1-robust transitivity of volume-preserving flows
Bessa, Mário
Volume-preserving flows
Robust transitivity
Dominated splitting
Ergodicity
title_short On C1-robust transitivity of volume-preserving flows
title_full On C1-robust transitivity of volume-preserving flows
title_fullStr On C1-robust transitivity of volume-preserving flows
title_full_unstemmed On C1-robust transitivity of volume-preserving flows
title_sort On C1-robust transitivity of volume-preserving 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
Robust transitivity
Dominated splitting
Ergodicity
topic Volume-preserving flows
Robust transitivity
Dominated splitting
Ergodicity
description We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is smooth enough then the linear Poincaré flow associated to it admits a dominated splitting over M.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
2023-05-25T10:41:19Z
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/10400.2/13839
url http://hdl.handle.net/10400.2/13839
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-0396
10.1016/j.jde.2008.02.045
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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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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