Strong generalized synchronization with a particular relationship R between the coupled systems

Detalhes bibliográficos
Autor(a) principal: Gracio, Clara
Data de Publicação: 2018
Outros Autores: Fernandes, Sara, Lopes, Luís Mário
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/25854
https://doi.org/10.1088/1742-6596/990/1/011001
Resumo: The question of the chaotic synchronization of two coupled dynamical systems is an issue that interests researchers in many elds, from biology to psychology, through economics, chemistry, physics, and many others. The di erent forms of couplings and the di erent types of synchronization, give rise to many problems, most of them little studied. In this paper we deal with general couplings of two dynamical systems and we study strong generalized synchronization with a particular relationship R between them. Our results include the de nition of a window in the domain of the coupling strength, where there is an exponentially stable solution, and the explicit determination of this window. In the case of unidirectional or symmetric couplings, this window is presented in terms of the maximum Lyapunov exponent of the systems. Examples of applications to chaotic systems of dimension one and two are presented.
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spelling Strong generalized synchronization with a particular relationship R between the coupled systemsDiscrete-time Chaotic Dynamical SystemsCouplingsR-synchronizationynchronization windowThe question of the chaotic synchronization of two coupled dynamical systems is an issue that interests researchers in many elds, from biology to psychology, through economics, chemistry, physics, and many others. The di erent forms of couplings and the di erent types of synchronization, give rise to many problems, most of them little studied. In this paper we deal with general couplings of two dynamical systems and we study strong generalized synchronization with a particular relationship R between them. Our results include the de nition of a window in the domain of the coupling strength, where there is an exponentially stable solution, and the explicit determination of this window. In the case of unidirectional or symmetric couplings, this window is presented in terms of the maximum Lyapunov exponent of the systems. Examples of applications to chaotic systems of dimension one and two are presented.Institute of Physics Publishing2019-09-19T10:07:46Z2019-09-192018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/25854http://hdl.handle.net/10174/25854https://doi.org/10.1088/1742-6596/990/1/011001engClara Grácio et al 2018 J. Phys.: Conf. Ser. 990 01200517426588990Journal of Physics: Conference Seriesmgracio@uevora.ptsaf@uevora.ptluismariolopes@gmail.comStrong generalized synchronization with a particular relationship R between the coupled systems721Gracio, ClaraFernandes, SaraLopes, Luís Márioinfo: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:RCAAP2024-01-03T19:17:13Zoai:dspace.uevora.pt:10174/25854Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:15:00.734080Repositório 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 Strong generalized synchronization with a particular relationship R between the coupled systems
title Strong generalized synchronization with a particular relationship R between the coupled systems
spellingShingle Strong generalized synchronization with a particular relationship R between the coupled systems
Gracio, Clara
Discrete-time Chaotic Dynamical Systems
Couplings
R-synchronization
ynchronization window
title_short Strong generalized synchronization with a particular relationship R between the coupled systems
title_full Strong generalized synchronization with a particular relationship R between the coupled systems
title_fullStr Strong generalized synchronization with a particular relationship R between the coupled systems
title_full_unstemmed Strong generalized synchronization with a particular relationship R between the coupled systems
title_sort Strong generalized synchronization with a particular relationship R between the coupled systems
author Gracio, Clara
author_facet Gracio, Clara
Fernandes, Sara
Lopes, Luís Mário
author_role author
author2 Fernandes, Sara
Lopes, Luís Mário
author2_role author
author
dc.contributor.author.fl_str_mv Gracio, Clara
Fernandes, Sara
Lopes, Luís Mário
dc.subject.por.fl_str_mv Discrete-time Chaotic Dynamical Systems
Couplings
R-synchronization
ynchronization window
topic Discrete-time Chaotic Dynamical Systems
Couplings
R-synchronization
ynchronization window
description The question of the chaotic synchronization of two coupled dynamical systems is an issue that interests researchers in many elds, from biology to psychology, through economics, chemistry, physics, and many others. The di erent forms of couplings and the di erent types of synchronization, give rise to many problems, most of them little studied. In this paper we deal with general couplings of two dynamical systems and we study strong generalized synchronization with a particular relationship R between them. Our results include the de nition of a window in the domain of the coupling strength, where there is an exponentially stable solution, and the explicit determination of this window. In the case of unidirectional or symmetric couplings, this window is presented in terms of the maximum Lyapunov exponent of the systems. Examples of applications to chaotic systems of dimension one and two are presented.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01T00:00:00Z
2019-09-19T10:07:46Z
2019-09-19
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/10174/25854
http://hdl.handle.net/10174/25854
https://doi.org/10.1088/1742-6596/990/1/011001
url http://hdl.handle.net/10174/25854
https://doi.org/10.1088/1742-6596/990/1/011001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Clara Grácio et al 2018 J. Phys.: Conf. Ser. 990 012005
17426588
990
Journal of Physics: Conference Series
mgracio@uevora.pt
saf@uevora.pt
luismariolopes@gmail.com
Strong generalized synchronization with a particular relationship R between the coupled systems
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Physics Publishing
publisher.none.fl_str_mv Institute of Physics Publishing
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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