Generic area-preserving reversible diffeomorphisms

Detalhes bibliográficos
Autor(a) principal: Maria Pires de Carvalho
Data de Publicação: 2015
Outros Autores: Mário Bessa, Alexandre Rodrigues
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/90733
Resumo: Let M be a surface and R : M -> M an area-preserving C-infinity diffeomorphism which is an involution and whose set of fixed points is a submanifold with dimension one. We will prove that C-1 - generically either an area-preserving R-reversible diffeomorphism, is Anosov, or, for mu-almost every x is an element of M, the Lyapunov exponents at x vanish or else the orbit of x belongs to a compact hyperbolic set with an empty interior. We will also describe a nonempty C-1-open subset of area-preserving R-reversible diffeomorphisms where for C-1 - generically each map is either Anosov or its Lyapunov exponents vanish from almost everywhere.
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spelling Generic area-preserving reversible diffeomorphismsMatemática, MatemáticaMathematics, MathematicsLet M be a surface and R : M -> M an area-preserving C-infinity diffeomorphism which is an involution and whose set of fixed points is a submanifold with dimension one. We will prove that C-1 - generically either an area-preserving R-reversible diffeomorphism, is Anosov, or, for mu-almost every x is an element of M, the Lyapunov exponents at x vanish or else the orbit of x belongs to a compact hyperbolic set with an empty interior. We will also describe a nonempty C-1-open subset of area-preserving R-reversible diffeomorphisms where for C-1 - generically each map is either Anosov or its Lyapunov exponents vanish from almost everywhere.20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/90733eng0951-771510.1088/0951-7715/28/6/1695Maria Pires de CarvalhoMário BessaAlexandre Rodriguesinfo: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:RCAAP2023-11-29T13:23:30Zoai:repositorio-aberto.up.pt:10216/90733Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:39:36.640187Repositório 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 Generic area-preserving reversible diffeomorphisms
title Generic area-preserving reversible diffeomorphisms
spellingShingle Generic area-preserving reversible diffeomorphisms
Maria Pires de Carvalho
Matemática, Matemática
Mathematics, Mathematics
title_short Generic area-preserving reversible diffeomorphisms
title_full Generic area-preserving reversible diffeomorphisms
title_fullStr Generic area-preserving reversible diffeomorphisms
title_full_unstemmed Generic area-preserving reversible diffeomorphisms
title_sort Generic area-preserving reversible diffeomorphisms
author Maria Pires de Carvalho
author_facet Maria Pires de Carvalho
Mário Bessa
Alexandre Rodrigues
author_role author
author2 Mário Bessa
Alexandre Rodrigues
author2_role author
author
dc.contributor.author.fl_str_mv Maria Pires de Carvalho
Mário Bessa
Alexandre Rodrigues
dc.subject.por.fl_str_mv Matemática, Matemática
Mathematics, Mathematics
topic Matemática, Matemática
Mathematics, Mathematics
description Let M be a surface and R : M -> M an area-preserving C-infinity diffeomorphism which is an involution and whose set of fixed points is a submanifold with dimension one. We will prove that C-1 - generically either an area-preserving R-reversible diffeomorphism, is Anosov, or, for mu-almost every x is an element of M, the Lyapunov exponents at x vanish or else the orbit of x belongs to a compact hyperbolic set with an empty interior. We will also describe a nonempty C-1-open subset of area-preserving R-reversible diffeomorphisms where for C-1 - generically each map is either Anosov or its Lyapunov exponents vanish from almost everywhere.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/90733
url https://hdl.handle.net/10216/90733
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0951-7715
10.1088/0951-7715/28/6/1695
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.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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
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