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
- Institución
- Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
- OAI Identificador
- paperaa:paper_13672630_v12_n_p_Peruani
Ver los metadatos del registro completo
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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 |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by/2.5/ar |
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) |
collection |
Biblioteca Digital (UBA-FCEN) |
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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13.070432 |