Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium

Detalhes bibliográficos
Autor(a) principal: Martins, Rogério
Data de Publicação: 2015
Outros Autores: Morais, Gonçalo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/5981
Resumo: An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.
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spelling Generalized synchronization in a system of several non-autonomous oscillators coupled by a mediumcoupled oscillatorssynchronizationinvariant manifoldsAn abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.KYBERNETIKARCIPLMartins, RogérioMorais, Gonçalo2016-04-14T15:38:25Z20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/5981engMARTINS, Rogério; MORAIS, Gonçalo - Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium. Kybernetika. ISSN. 0023-5954. Vol. 51, N.º 2 (2015), pp. 347-373.0023-5954info: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:RCAAP2023-08-03T09:50:11Zoai:repositorio.ipl.pt:10400.21/5981Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:15:11.729296Repositório 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 Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
title Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
spellingShingle Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
Martins, Rogério
coupled oscillators
synchronization
invariant manifolds
title_short Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
title_full Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
title_fullStr Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
title_full_unstemmed Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
title_sort Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
author Martins, Rogério
author_facet Martins, Rogério
Morais, Gonçalo
author_role author
author2 Morais, Gonçalo
author2_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Martins, Rogério
Morais, Gonçalo
dc.subject.por.fl_str_mv coupled oscillators
synchronization
invariant manifolds
topic coupled oscillators
synchronization
invariant manifolds
description An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
2016-04-14T15:38:25Z
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/10400.21/5981
url http://hdl.handle.net/10400.21/5981
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv MARTINS, Rogério; MORAIS, Gonçalo - Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium. Kybernetika. ISSN. 0023-5954. Vol. 51, N.º 2 (2015), pp. 347-373.
0023-5954
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv KYBERNETIKA
publisher.none.fl_str_mv KYBERNETIKA
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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