Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators

Detalhes bibliográficos
Autor(a) principal: Grácio, Clara
Data de Publicação: 2008
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/10174/6766
Resumo: In this work we discuss the complete synchronization of two identical double-well Duffing oscillators unidirectionally coupled, from the point of view of symbolic dynamics. Working with Poincar´e cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized. We obtained analytically the threshold value of the coupling parameter for the synchronization of two unimodal and two bimodal piecewise linear maps, which by semi-conjugacy, under certain conditions, gives us information about the synchronization of the Duffing oscillators.
id RCAP_80b251dd8dc036034a45648e5c81fc53
oai_identifier_str oai:dspace.uevora.pt:10174/6766
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing OscillatorsduffingIn this work we discuss the complete synchronization of two identical double-well Duffing oscillators unidirectionally coupled, from the point of view of symbolic dynamics. Working with Poincar´e cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized. We obtained analytically the threshold value of the coupling parameter for the synchronization of two unimodal and two bimodal piecewise linear maps, which by semi-conjugacy, under certain conditions, gives us information about the synchronization of the Duffing oscillators.Journal of Nonlinear Mathematical Physics2012-12-10T12:27:09Z2012-12-102008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6766http://hdl.handle.net/10174/6766engAcilina Caneco, Clara Grácio and J. Leonel Rocha, “Symbolic Dynamics and chaotic synchronization in coupled Duffing oscillators Journal of Nonlinear Mathematical Physics, nº15 -3, pgs 102 – 111, 2008.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:10174/6766Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:26.085963Repositório 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 Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
title Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
spellingShingle Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
Grácio, Clara
duffing
title_short Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
title_full Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
title_fullStr Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
title_full_unstemmed Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
title_sort Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
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 duffing
topic duffing
description In this work we discuss the complete synchronization of two identical double-well Duffing oscillators unidirectionally coupled, from the point of view of symbolic dynamics. Working with Poincar´e cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized. We obtained analytically the threshold value of the coupling parameter for the synchronization of two unimodal and two bimodal piecewise linear maps, which by semi-conjugacy, under certain conditions, gives us information about the synchronization of the Duffing oscillators.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01T00:00:00Z
2012-12-10T12:27:09Z
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/10174/6766
http://hdl.handle.net/10174/6766
url http://hdl.handle.net/10174/6766
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Acilina Caneco, Clara Grácio and J. Leonel Rocha, “Symbolic Dynamics and chaotic synchronization in coupled Duffing oscillators Journal of Nonlinear Mathematical Physics, nº15 -3, pgs 102 – 111, 2008.
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 Journal of Nonlinear Mathematical Physics
publisher.none.fl_str_mv Journal of Nonlinear Mathematical Physics
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
_version_ 1799136497419419648

Registros relacionados