Explosion of smoothness for conjugacies between multimodal maps

Detalhes bibliográficos
Autor(a) principal: Alves,JF
Data de Publicação: 2014
Outros Autores: Pinheiro,V, Alberto Pinto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://repositorio.inesctec.pt/handle/123456789/3502
http://dx.doi.org/10.1112/jlms/jdt055
Resumo: Let f and g be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy h between f and g is C-1 at a point in the nearby expanding set of f, then h is a smooth diffeomorphism in the basin of attraction of a renormalization interval of f. In particular, if f:I -> I and g : J -> J are C-r unimodal maps and h is C-1 at a boundary of I, then h is C-r in I.
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spelling Explosion of smoothness for conjugacies between multimodal mapsLet f and g be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy h between f and g is C-1 at a point in the nearby expanding set of f, then h is a smooth diffeomorphism in the basin of attraction of a renormalization interval of f. In particular, if f:I -> I and g : J -> J are C-r unimodal maps and h is C-1 at a boundary of I, then h is C-r in I.2017-11-20T10:33:23Z2014-01-01T00:00:00Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://repositorio.inesctec.pt/handle/123456789/3502http://dx.doi.org/10.1112/jlms/jdt055engAlves,JFPinheiro,VAlberto Pintoinfo: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:RCAAP2023-05-15T10:20:36Zoai:repositorio.inesctec.pt:123456789/3502Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:53:22.165808Repositório 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 Explosion of smoothness for conjugacies between multimodal maps
title Explosion of smoothness for conjugacies between multimodal maps
spellingShingle Explosion of smoothness for conjugacies between multimodal maps
Alves,JF
title_short Explosion of smoothness for conjugacies between multimodal maps
title_full Explosion of smoothness for conjugacies between multimodal maps
title_fullStr Explosion of smoothness for conjugacies between multimodal maps
title_full_unstemmed Explosion of smoothness for conjugacies between multimodal maps
title_sort Explosion of smoothness for conjugacies between multimodal maps
author Alves,JF
author_facet Alves,JF
Pinheiro,V
Alberto Pinto
author_role author
author2 Pinheiro,V
Alberto Pinto
author2_role author
author
dc.contributor.author.fl_str_mv Alves,JF
Pinheiro,V
Alberto Pinto
description Let f and g be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy h between f and g is C-1 at a point in the nearby expanding set of f, then h is a smooth diffeomorphism in the basin of attraction of a renormalization interval of f. In particular, if f:I -> I and g : J -> J are C-r unimodal maps and h is C-1 at a boundary of I, then h is C-r in I.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01T00:00:00Z
2014
2017-11-20T10:33:23Z
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://repositorio.inesctec.pt/handle/123456789/3502
http://dx.doi.org/10.1112/jlms/jdt055
url http://repositorio.inesctec.pt/handle/123456789/3502
http://dx.doi.org/10.1112/jlms/jdt055
dc.language.iso.fl_str_mv eng
language eng
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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)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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