Kneading theory analysis of the Duffing equation

Detalhes bibliográficos
Autor(a) principal: Grácio, Clara
Data de Publicação: 2009
Outros Autores: Caneco, Acilina, Rocha, José
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/6767
Resumo: The purpose of this paper is to study the symmetry effect on the kneading theory for symmetric unimodal maps and for symmetric bimodal maps. We obtain some properties about the kneading determinant for these maps, that implies some simplifications in the usual formula to compute, explicitly, the topological entropy. As an application, we study the chaotic behaviour of the two-well Duffing equation with forcing.
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spelling Kneading theory analysis of the Duffing equationkneadingThe purpose of this paper is to study the symmetry effect on the kneading theory for symmetric unimodal maps and for symmetric bimodal maps. We obtain some properties about the kneading determinant for these maps, that implies some simplifications in the usual formula to compute, explicitly, the topological entropy. As an application, we study the chaotic behaviour of the two-well Duffing equation with forcing.Chaos, Solitons & Fractals2012-12-10T12:30:12Z2012-12-102009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6767http://hdl.handle.net/10174/6767engAcilina Caneco, Clara Grácio, J. Leonel Rocha, Kneading theory analysis of the Duffing equation, Chaos, Solitons & Fractals, 42 (2009), 1529-1538.mgracio@uevora.ptndnd721Grácio, ClaraCaneco, AcilinaRocha, Joséinfo: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:RCAAP2024-01-03T18:46:21Zoai:dspace.uevora.pt:10174/6767Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:26.127927Repositório 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 Kneading theory analysis of the Duffing equation
title Kneading theory analysis of the Duffing equation
spellingShingle Kneading theory analysis of the Duffing equation
Grácio, Clara
kneading
title_short Kneading theory analysis of the Duffing equation
title_full Kneading theory analysis of the Duffing equation
title_fullStr Kneading theory analysis of the Duffing equation
title_full_unstemmed Kneading theory analysis of the Duffing equation
title_sort Kneading theory analysis of the Duffing equation
author Grácio, Clara
author_facet Grácio, Clara
Caneco, Acilina
Rocha, José
author_role author
author2 Caneco, Acilina
Rocha, José
author2_role author
author
dc.contributor.author.fl_str_mv Grácio, Clara
Caneco, Acilina
Rocha, José
dc.subject.por.fl_str_mv kneading
topic kneading
description The purpose of this paper is to study the symmetry effect on the kneading theory for symmetric unimodal maps and for symmetric bimodal maps. We obtain some properties about the kneading determinant for these maps, that implies some simplifications in the usual formula to compute, explicitly, the topological entropy. As an application, we study the chaotic behaviour of the two-well Duffing equation with forcing.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01T00:00:00Z
2012-12-10T12:30:12Z
2012-12-10
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/10174/6767
http://hdl.handle.net/10174/6767
url http://hdl.handle.net/10174/6767
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Acilina Caneco, Clara Grácio, J. Leonel Rocha, Kneading theory analysis of the Duffing equation, Chaos, Solitons & Fractals, 42 (2009), 1529-1538.
mgracio@uevora.pt
nd
nd
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Chaos, Solitons & Fractals
publisher.none.fl_str_mv Chaos, Solitons & Fractals
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
repository.mail.fl_str_mv
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