Realization of tangent perturbations in discrete and continuous time conservative systems

Detalhes bibliográficos
Autor(a) principal: Alishah, Hassan Najafi
Data de Publicação: 2014
Outros Autores: Dias, João Lopes
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.5/28945
Resumo: We prove that any perturbation of the symplectic part of the derivative of a Poisson diffeomorphism can be realized as the derivative of a C¹ -close Poisson diffeomorphism. We also show that a similar property holds for the Poincaré map of a Hamiltonian on a Poisson manifold. These results are the conservative counterparts of the Franks lemma, a perturbation tool used in several contexts most notably in the theory of smooth dynamical systems
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spelling Realization of tangent perturbations in discrete and continuous time conservative systemsFranks LemmaSymplectic and Hamiltonian C¹ PerturbationsPoisson Hamiltonian Flowbox CoordinatesWe prove that any perturbation of the symplectic part of the derivative of a Poisson diffeomorphism can be realized as the derivative of a C¹ -close Poisson diffeomorphism. We also show that a similar property holds for the Poincaré map of a Hamiltonian on a Poisson manifold. These results are the conservative counterparts of the Franks lemma, a perturbation tool used in several contexts most notably in the theory of smooth dynamical systemsAmerican Institute of Mathematical SciencesRepositório da Universidade de LisboaAlishah, Hassan NajafiDias, João Lopes2023-10-10T09:09:44Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/28945porAlishah, Hassan Najafi and João Lopes Dias .(2014). “Realization of tangent perturbations in discrete and continuous time conservative systems”. Discrete and Continuous Dynamical Systems, Volume 34, Number 12: pp. 5359–5374. (Search PDF in 2023).doi: 10.3934/dcds.2014.34.53595359-5374info: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:RCAAP2023-10-15T01:32:54Zoai:www.repository.utl.pt:10400.5/28945Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:35:42.758888Repositório 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 Realization of tangent perturbations in discrete and continuous time conservative systems
title Realization of tangent perturbations in discrete and continuous time conservative systems
spellingShingle Realization of tangent perturbations in discrete and continuous time conservative systems
Alishah, Hassan Najafi
Franks Lemma
Symplectic and Hamiltonian C¹ Perturbations
Poisson Hamiltonian Flowbox Coordinates
title_short Realization of tangent perturbations in discrete and continuous time conservative systems
title_full Realization of tangent perturbations in discrete and continuous time conservative systems
title_fullStr Realization of tangent perturbations in discrete and continuous time conservative systems
title_full_unstemmed Realization of tangent perturbations in discrete and continuous time conservative systems
title_sort Realization of tangent perturbations in discrete and continuous time conservative systems
author Alishah, Hassan Najafi
author_facet Alishah, Hassan Najafi
Dias, João Lopes
author_role author
author2 Dias, João Lopes
author2_role author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Alishah, Hassan Najafi
Dias, João Lopes
dc.subject.por.fl_str_mv Franks Lemma
Symplectic and Hamiltonian C¹ Perturbations
Poisson Hamiltonian Flowbox Coordinates
topic Franks Lemma
Symplectic and Hamiltonian C¹ Perturbations
Poisson Hamiltonian Flowbox Coordinates
description We prove that any perturbation of the symplectic part of the derivative of a Poisson diffeomorphism can be realized as the derivative of a C¹ -close Poisson diffeomorphism. We also show that a similar property holds for the Poincaré map of a Hamiltonian on a Poisson manifold. These results are the conservative counterparts of the Franks lemma, a perturbation tool used in several contexts most notably in the theory of smooth dynamical systems
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2023-10-10T09:09:44Z
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/10400.5/28945
url http://hdl.handle.net/10400.5/28945
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv Alishah, Hassan Najafi and João Lopes Dias .(2014). “Realization of tangent perturbations in discrete and continuous time conservative systems”. Discrete and Continuous Dynamical Systems, Volume 34, Number 12: pp. 5359–5374. (Search PDF in 2023).
doi: 10.3934/dcds.2014.34.5359
5359-5374
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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
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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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