Mobility induces global synchronization of oscillators in periodic extended systems

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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Autor principal: Peruani, Fernando
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:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v12_n_p_Peruani
http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13672630_v12_n_p_Peruani
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spelling paper:paper_13672630_v12_n_p_Peruani2023-06-08T16:12:05Z Mobility induces global synchronization of oscillators in periodic extended systems Peruani, Fernando Attractor basins Extended systems Finite systems Global synchronization Langevin simulations Local order Phase oscillators Statistical descriptions Wave-like solutions Synchronization 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. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v12_n_p_Peruani http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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, Fernando
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.
author Peruani, Fernando
author_facet Peruani, Fernando
author_sort Peruani, Fernando
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v12_n_p_Peruani
http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani
work_keys_str_mv AT peruanifernando mobilityinducesglobalsynchronizationofoscillatorsinperiodicextendedsystems
_version_ 1768543718627868672

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