Mobility induces global synchronization of oscillators in periodic extended systems

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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 la...

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Autores principales:	Peruani, F., Nicola, E.M., Morelli, L.G.
Formato:	Artículo publishedVersion
Publicado:	2010
Materias:	Attractor basins Extended systems Finite systems Global synchronization Langevin simulations Local order Phase oscillators Statistical descriptions Wave-like solutions Synchronization
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_13672630_v12_n_p_Peruani_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_13672630_v12_n_p_Peruani_oai
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spelling	I28-R145-paper_13672630_v12_n_p_Peruani_oai2024-08-16 Peruani, F. Nicola, E.M. Morelli, L.G. 2010 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. application/pdf http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar New J. Phys. 2010;12 Attractor basins Extended systems Finite systems Global synchronization Langevin simulations Local order Phase oscillators Statistical descriptions Wave-like solutions Synchronization Mobility induces global synchronization of oscillators in periodic extended systems info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_13672630_v12_n_p_Peruani_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic	Attractor basins Extended systems Finite systems Global synchronization Langevin simulations Local order Phase oscillators Statistical descriptions Wave-like solutions Synchronization
spellingShingle	Attractor basins Extended systems Finite systems Global synchronization Langevin simulations Local order Phase oscillators Statistical descriptions Wave-like solutions Synchronization Peruani, F. Nicola, E.M. Morelli, L.G. Mobility induces global synchronization of oscillators in periodic extended systems
topic_facet	Attractor basins Extended systems Finite systems Global synchronization Langevin simulations Local order Phase oscillators Statistical descriptions Wave-like solutions Synchronization
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.
format	Artículo Artículo publishedVersion
author	Peruani, F. Nicola, E.M. Morelli, L.G.
author_facet	Peruani, F. Nicola, E.M. Morelli, L.G.
author_sort	Peruani, F.
title	Mobility induces global synchronization of oscillators in periodic extended systems
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
publishDate	2010
url	http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_13672630_v12_n_p_Peruani_oai
work_keys_str_mv	AT peruanif mobilityinducesglobalsynchronizationofoscillatorsinperiodicextendedsystems AT nicolaem mobilityinducesglobalsynchronizationofoscillatorsinperiodicextendedsystems AT morellilg mobilityinducesglobalsynchronizationofoscillatorsinperiodicextendedsystems
_version_	1809357115777613824

Mobility induces global synchronization of oscillators in periodic extended systems

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