Renormalization scheme for vector fields on T ² with a Diophantine frequency
Autor(a) principal: | |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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1799133653938208768 |