Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators

Detalhes bibliográficos
Autor(a) principal: Caneco, Acilina
Data de Publicação: 2008
Outros Autores: Grácio, Clara, Rocha, Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/9201
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.
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spelling Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing OscillatorsSynchronizationDuffing EquationIn 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 Physics2014-01-06T10:00:33Z2014-01-062008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/9201http://hdl.handle.net/10174/9201engAcilina Caneco, Clara Grácio & J Leonel Rocha (2008): Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators, Journal of Nonlinear Mathematical Physics, 15:sup3, 102-111http://www.tandfonline.com/doi/pdf/10.2991/jnmp.2008.15.s3.11acilinaa@gmail.commgracio@uevora.ptjrocha@adm.isel.pt721Caneco, AcilinaGrácio, ClaraRocha, Joseinfo: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:RCAAP2024-01-03T18:49:34Zoai:dspace.uevora.pt:10174/9201Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:02:44.572241Repositório 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
Caneco, Acilina
Synchronization
Duffing Equation
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 Caneco, Acilina
author_facet Caneco, Acilina
Grácio, Clara
Rocha, Jose
author_role author
author2 Grácio, Clara
Rocha, Jose
author2_role author
author
dc.contributor.author.fl_str_mv Caneco, Acilina
Grácio, Clara
Rocha, Jose
dc.subject.por.fl_str_mv Synchronization
Duffing Equation
topic Synchronization
Duffing Equation
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
2014-01-06T10:00:33Z
2014-01-06
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/10174/9201
http://hdl.handle.net/10174/9201
url http://hdl.handle.net/10174/9201
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Acilina Caneco, Clara Grácio & J Leonel Rocha (2008): Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators, Journal of Nonlinear Mathematical Physics, 15:sup3, 102-111
http://www.tandfonline.com/doi/pdf/10.2991/jnmp.2008.15.s3.11
acilinaa@gmail.com
mgracio@uevora.pt
jrocha@adm.isel.pt
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
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