Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators

Detalhes bibliográficos
Autor(a) principal: Caneco, Acilina
Data de Publicação: 2009
Outros Autores: Rocha, Jose, Grácio, Clara
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/9277
Resumo: In this paper is presented a relationship between the synchronization and the topological entropy. We obtain the values for the coupling parameter, in terms of the topological entropy, to achieve synchronization of two unidirectional and bidirectional coupled piecewise linear maps. In addition, we prove a result that relates the synchronizability of two m-modal maps with the synchronizability of two conjugated piecewise linear maps. An application to the unidirectional and bidirectional coupled identical chaotic Duffing equations is given. We discuss the complete synchronization of two identical double-well Duffing oscillators, from the point of view of symbolic dynamics. Working with Poincaré cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized.
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spelling Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillatorsIn this paper is presented a relationship between the synchronization and the topological entropy. We obtain the values for the coupling parameter, in terms of the topological entropy, to achieve synchronization of two unidirectional and bidirectional coupled piecewise linear maps. In addition, we prove a result that relates the synchronizability of two m-modal maps with the synchronizability of two conjugated piecewise linear maps. An application to the unidirectional and bidirectional coupled identical chaotic Duffing equations is given. We discuss the complete synchronization of two identical double-well Duffing oscillators, from the point of view of symbolic dynamics. Working with Poincaré cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized.International Journal Bifurcation and Chaos2014-01-07T10:40:44Z2014-01-072009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/9277http://hdl.handle.net/10174/9277engA. Caneco, C. Grácio, J. L. Rocha, Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators, Int. Jour. Bifurcation and Chaos, vol.19, nº11, 3855-3868, 2009.http://www.worldscientific.com/toc/ijbc/19/11acilina@adm.isel.ptjrocha@adm.isel.ptmgracio@uevora.pt721Caneco, AcilinaRocha, JoseGrácio, Clarainfo: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:10174/9277Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:02:44.612889Repositório 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 Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
title Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
spellingShingle Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
Caneco, Acilina
title_short Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
title_full Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
title_fullStr Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
title_full_unstemmed Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
title_sort Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
author Caneco, Acilina
author_facet Caneco, Acilina
Rocha, Jose
Grácio, Clara
author_role author
author2 Rocha, Jose
Grácio, Clara
author2_role author
author
dc.contributor.author.fl_str_mv Caneco, Acilina
Rocha, Jose
Grácio, Clara
description In this paper is presented a relationship between the synchronization and the topological entropy. We obtain the values for the coupling parameter, in terms of the topological entropy, to achieve synchronization of two unidirectional and bidirectional coupled piecewise linear maps. In addition, we prove a result that relates the synchronizability of two m-modal maps with the synchronizability of two conjugated piecewise linear maps. An application to the unidirectional and bidirectional coupled identical chaotic Duffing equations is given. We discuss the complete synchronization of two identical double-well Duffing oscillators, from the point of view of symbolic dynamics. Working with Poincaré cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01T00:00:00Z
2014-01-07T10:40:44Z
2014-01-07
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/10174/9277
http://hdl.handle.net/10174/9277
url http://hdl.handle.net/10174/9277
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv A. Caneco, C. Grácio, J. L. Rocha, Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators, Int. Jour. Bifurcation and Chaos, vol.19, nº11, 3855-3868, 2009.
http://www.worldscientific.com/toc/ijbc/19/11
acilina@adm.isel.pt
jrocha@adm.isel.pt
mgracio@uevora.pt
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv International Journal Bifurcation and Chaos
publisher.none.fl_str_mv International Journal Bifurcation and Chaos
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
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