Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillators
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
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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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 |
repository.mail.fl_str_mv |
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1799136511340314624 |