Renormalization scheme for vector fields on T ² with a Diophantine frequency

Detalhes bibliográficos
Autor(a) principal: Dias, João Lopes
Data de Publicação: 2002
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.5/29052
Resumo: We construct a rigorous renormalisation scheme for analytic vector fields on t ² of Poincar´e type. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it, related to the continued fraction expansion of the slope of the frequencies. This is valid for diophantine frequency vectors.
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spelling Renormalization scheme for vector fields on T ² with a Diophantine frequencyRenormalization OperationDiophantine FrequencyHamiltonian FunctionsWe construct a rigorous renormalisation scheme for analytic vector fields on t ² of Poincar´e type. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it, related to the continued fraction expansion of the slope of the frequencies. This is valid for diophantine frequency vectors.Institute of Physics PublishingRepositório da Universidade de LisboaDias, João Lopes2023-10-16T10:55:09Z20022002-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/29052engDias, João Lopes .(2002). “Renormalization scheme for vector fields on T ² with a Diophantine frequency”. Nonlinearity, Vol. 15: pp. 665-679. (Search PDF in 2023)metadata only accessinfo: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:RCAAP2023-10-22T01:32:25Zoai:www.repository.utl.pt:10400.5/29052Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:39:20.041739Repositório 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 Renormalization scheme for vector fields on T ² with a Diophantine frequency
title Renormalization scheme for vector fields on T ² with a Diophantine frequency
spellingShingle Renormalization scheme for vector fields on T ² with a Diophantine frequency
Dias, João Lopes
Renormalization Operation
Diophantine Frequency
Hamiltonian Functions
title_short Renormalization scheme for vector fields on T ² with a Diophantine frequency
title_full Renormalization scheme for vector fields on T ² with a Diophantine frequency
title_fullStr Renormalization scheme for vector fields on T ² with a Diophantine frequency
title_full_unstemmed Renormalization scheme for vector fields on T ² with a Diophantine frequency
title_sort Renormalization scheme for vector fields on T ² with a Diophantine frequency
author Dias, João Lopes
author_facet Dias, João Lopes
author_role author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Dias, João Lopes
dc.subject.por.fl_str_mv Renormalization Operation
Diophantine Frequency
Hamiltonian Functions
topic Renormalization Operation
Diophantine Frequency
Hamiltonian Functions
description We construct a rigorous renormalisation scheme for analytic vector fields on t ² of Poincar´e type. We show that iterating this procedure there is convergence to a limit set with a “Gauss map” dynamics on it, related to the continued fraction expansion of the slope of the frequencies. This is valid for diophantine frequency vectors.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01T00:00:00Z
2023-10-16T10:55:09Z
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/10400.5/29052
url http://hdl.handle.net/10400.5/29052
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Dias, João Lopes .(2002). “Renormalization scheme for vector fields on T ² with a Diophantine frequency”. Nonlinearity, Vol. 15: pp. 665-679. (Search PDF in 2023)
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Institute of Physics Publishing
publisher.none.fl_str_mv Institute of Physics Publishing
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
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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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