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

Bibliographic Details
Main Author: Grácio, Clara
Publication Date: 2009
Other Authors: Caneco, Acilina, Rocha, José
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10174/6768
Summary: 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 Du±ng equations is given. We discuss the complete synchronization of two identical double-well Du±ng oscillators, 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.
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spelling Topological entropy in the synchronization of piecewise linear and monotone maps. Coupled Duffing oscillatorstopologicalIn 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 Du±ng equations is given. We discuss the complete synchronization of two identical double-well Du±ng oscillators, 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.International Journal Bifurcation and Chaos2012-12-10T12:30:48Z2012-12-102009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6768http://hdl.handle.net/10174/6768engA. 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.mgracio@uevora.ptndnd721Grácio, ClaraCaneco, AcilinaRocha, Joséinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-01-03T18:46:21Zoai:dspace.uevora.pt:10174/6768Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:56:19.596350Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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
Grácio, Clara
topological
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 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 topological
topic topological
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 Du±ng equations is given. We discuss the complete synchronization of two identical double-well Du±ng oscillators, 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.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01T00:00:00Z
2012-12-10T12:30:48Z
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/10174/6768
http://hdl.handle.net/10174/6768
url http://hdl.handle.net/10174/6768
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.
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 International Journal Bifurcation and Chaos
publisher.none.fl_str_mv International Journal Bifurcation and Chaos
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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