Mobility induces global synchronization of oscillators in periodic extended systems

Autores
Peruani, F.; Nicola, E.M.; Morelli, L.G.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the synchronization of locally coupled noisy phase oscillators that move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits wavelike states displaying local order. We use a statistical description valid for a large number of oscillators to show that for any finite system there is a critical mobility above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by a shift in the relative size of attractor basins associated with wavelike states. Mobility disrupts these states and paves the way for the system to attain global synchronization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Fil:Peruani, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
New J. Phys. 2010;12
Materia
Attractor basins
Extended systems
Finite systems
Global synchronization
Langevin simulations
Local order
Phase oscillators
Statistical descriptions
Wave-like solutions
Synchronization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_13672630_v12_n_p_Peruani

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network_name_str Biblioteca Digital (UBA-FCEN)
spelling Mobility induces global synchronization of oscillators in periodic extended systemsPeruani, F.Nicola, E.M.Morelli, L.G.Attractor basinsExtended systemsFinite systemsGlobal synchronizationLangevin simulationsLocal orderPhase oscillatorsStatistical descriptionsWave-like solutionsSynchronizationWe study the synchronization of locally coupled noisy phase oscillators that move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits wavelike states displaying local order. We use a statistical description valid for a large number of oscillators to show that for any finite system there is a critical mobility above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by a shift in the relative size of attractor basins associated with wavelike states. Mobility disrupts these states and paves the way for the system to attain global synchronization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.Fil:Peruani, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_PeruaniNew J. Phys. 2010;12reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:42:51Zpaperaa:paper_13672630_v12_n_p_PeruaniInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:42:53.165Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Mobility induces global synchronization of oscillators in periodic extended systems
title Mobility induces global synchronization of oscillators in periodic extended systems
spellingShingle Mobility induces global synchronization of oscillators in periodic extended systems
Peruani, F.
Attractor basins
Extended systems
Finite systems
Global synchronization
Langevin simulations
Local order
Phase oscillators
Statistical descriptions
Wave-like solutions
Synchronization
title_short Mobility induces global synchronization of oscillators in periodic extended systems
title_full Mobility induces global synchronization of oscillators in periodic extended systems
title_fullStr Mobility induces global synchronization of oscillators in periodic extended systems
title_full_unstemmed Mobility induces global synchronization of oscillators in periodic extended systems
title_sort Mobility induces global synchronization of oscillators in periodic extended systems
dc.creator.none.fl_str_mv Peruani, F.
Nicola, E.M.
Morelli, L.G.
author Peruani, F.
author_facet Peruani, F.
Nicola, E.M.
Morelli, L.G.
author_role author
author2 Nicola, E.M.
Morelli, L.G.
author2_role author
author
dc.subject.none.fl_str_mv Attractor basins
Extended systems
Finite systems
Global synchronization
Langevin simulations
Local order
Phase oscillators
Statistical descriptions
Wave-like solutions
Synchronization
topic Attractor basins
Extended systems
Finite systems
Global synchronization
Langevin simulations
Local order
Phase oscillators
Statistical descriptions
Wave-like solutions
Synchronization
dc.description.none.fl_txt_mv We study the synchronization of locally coupled noisy phase oscillators that move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits wavelike states displaying local order. We use a statistical description valid for a large number of oscillators to show that for any finite system there is a critical mobility above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by a shift in the relative size of attractor basins associated with wavelike states. Mobility disrupts these states and paves the way for the system to attain global synchronization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Fil:Peruani, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description We study the synchronization of locally coupled noisy phase oscillators that move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits wavelike states displaying local order. We use a statistical description valid for a large number of oscillators to show that for any finite system there is a critical mobility above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by a shift in the relative size of attractor basins associated with wavelike states. Mobility disrupts these states and paves the way for the system to attain global synchronization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani
url http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
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dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv New J. Phys. 2010;12
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
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instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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