Synchronization of symmetric chaotic systems

This paper contains a study of the synchronization by homogeneous nonlinear driving of systems that are symmetric in phase space. The main consequence of this symmetry is the ability of the response to synchronize in more than just one way to the driving systems. These different forms of synchroniza...

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Detalhes bibliográficos
Autor: González-Miranda, J. M. (Jesús Manuel)
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1996
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18811
Acesso em linha:https://hdl.handle.net/2445/18811
Access Level:Acceso aberto
Palavra-chave:Física estadística
Termodinàmica
Sistemes no lineals
Caos (Teoria de sistemes)
Dinàmica de fluids
Electrònica
Microones
Sincronització
Statistical physics
Thermodynamics
Nonlinear systems
Chaotic behavior in systems
Fluid dynamics
Electronics
Microwaves
Synchronization
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spelling Synchronization of symmetric chaotic systemsGonzález-Miranda, J. M. (Jesús Manuel)Física estadísticaTermodinàmicaSistemes no linealsCaos (Teoria de sistemes)Dinàmica de fluidsElectrònicaMicroonesSincronitzacióStatistical physicsThermodynamicsNonlinear systemsChaotic behavior in systemsFluid dynamicsElectronicsMicrowavesSynchronizationThis paper contains a study of the synchronization by homogeneous nonlinear driving of systems that are symmetric in phase space. The main consequence of this symmetry is the ability of the response to synchronize in more than just one way to the driving systems. These different forms of synchronization are to be understood as generalized synchronization states in which the motions of drive and response are in complete correlation, but the phase space distance between them does not converge to zero. In this case the synchronization phenomenon becomes enriched because there is multistability. As a consequence, there appear multiple basins of attraction and special responses to external noise. It is shown, by means of a computer simulation of various nonlinear systems, that: (i) the decay to the generalized synchronization states is exponential, (ii) the basins of attraction are symmetric, usually complicated, frequently fractal, and robust under the changes in the parameters, and (iii) the effect of external noise is to weaken the synchronization, and in some cases to produce jumps between the various synchronization states availableThe American Physical Society201120111996info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion14 p.application/pdfhttps://hdl.handle.net/2445/18811Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.53.5656Physical Review E, 1996, vol. 53, núm. 6, p. 5656-5669http://dx.doi.org/10.1103/PhysRevE.53.5656(c) American Physical Society, 1996info:eu-repo/semantics/openAccessoai:recercat.cat:2445/188112026-05-29T05:05:01Z
dc.title.none.fl_str_mv Synchronization of symmetric chaotic systems
title Synchronization of symmetric chaotic systems
spellingShingle Synchronization of symmetric chaotic systems
González-Miranda, J. M. (Jesús Manuel)
Física estadística
Termodinàmica
Sistemes no lineals
Caos (Teoria de sistemes)
Dinàmica de fluids
Electrònica
Microones
Sincronització
Statistical physics
Thermodynamics
Nonlinear systems
Chaotic behavior in systems
Fluid dynamics
Electronics
Microwaves
Synchronization
title_short Synchronization of symmetric chaotic systems
title_full Synchronization of symmetric chaotic systems
title_fullStr Synchronization of symmetric chaotic systems
title_full_unstemmed Synchronization of symmetric chaotic systems
title_sort Synchronization of symmetric chaotic systems
dc.creator.none.fl_str_mv González-Miranda, J. M. (Jesús Manuel)
author González-Miranda, J. M. (Jesús Manuel)
author_facet González-Miranda, J. M. (Jesús Manuel)
author_role author
dc.subject.none.fl_str_mv Física estadística
Termodinàmica
Sistemes no lineals
Caos (Teoria de sistemes)
Dinàmica de fluids
Electrònica
Microones
Sincronització
Statistical physics
Thermodynamics
Nonlinear systems
Chaotic behavior in systems
Fluid dynamics
Electronics
Microwaves
Synchronization
topic Física estadística
Termodinàmica
Sistemes no lineals
Caos (Teoria de sistemes)
Dinàmica de fluids
Electrònica
Microones
Sincronització
Statistical physics
Thermodynamics
Nonlinear systems
Chaotic behavior in systems
Fluid dynamics
Electronics
Microwaves
Synchronization
description This paper contains a study of the synchronization by homogeneous nonlinear driving of systems that are symmetric in phase space. The main consequence of this symmetry is the ability of the response to synchronize in more than just one way to the driving systems. These different forms of synchronization are to be understood as generalized synchronization states in which the motions of drive and response are in complete correlation, but the phase space distance between them does not converge to zero. In this case the synchronization phenomenon becomes enriched because there is multistability. As a consequence, there appear multiple basins of attraction and special responses to external noise. It is shown, by means of a computer simulation of various nonlinear systems, that: (i) the decay to the generalized synchronization states is exponential, (ii) the basins of attraction are symmetric, usually complicated, frequently fractal, and robust under the changes in the parameters, and (iii) the effect of external noise is to weaken the synchronization, and in some cases to produce jumps between the various synchronization states available
publishDate 1996
dc.date.none.fl_str_mv 1996
2011
2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18811
url https://hdl.handle.net/2445/18811
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.53.5656
Physical Review E, 1996, vol. 53, núm. 6, p. 5656-5669
http://dx.doi.org/10.1103/PhysRevE.53.5656
dc.rights.none.fl_str_mv (c) American Physical Society, 1996
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 1996
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 14 p.
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812455

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