Dynamics of mobile coupled phase oscillators

We study the transient synchronization dynamics of locally coupled phase oscillators moving on a one-dimensional lattice. Analysis of spatial phase correlation shows that mobility speeds up relaxation of spatial modes and leads to faster synchronization. We show that when mobility becomes sufficient...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Uriu, K., Ares, S., Oates, A.C., Morelli, L.G.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v87_n3_p_Uriu
Aporte de:
id todo:paper_15393755_v87_n3_p_Uriu
record_format dspace
spelling todo:paper_15393755_v87_n3_p_Uriu2023-10-03T16:22:46Z Dynamics of mobile coupled phase oscillators Uriu, K. Ares, S. Oates, A.C. Morelli, L.G. Coupled phase oscillators Interaction ranges Mean-field One-dimensional lattice Phase correlation Spatial modes Synchronization dynamics Time-scales Phase modulation Relaxation oscillators We study the transient synchronization dynamics of locally coupled phase oscillators moving on a one-dimensional lattice. Analysis of spatial phase correlation shows that mobility speeds up relaxation of spatial modes and leads to faster synchronization. We show that when mobility becomes sufficiently high, it does not allow spatial modes to form and the population of oscillators behaves like a mean-field system. Estimating the relaxation timescale of the longest spatial mode and comparing it with systems with long-range coupling, we reveal how mobility effectively extends the interaction range. © 2013 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v87_n3_p_Uriu
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Coupled phase oscillators
Interaction ranges
Mean-field
One-dimensional lattice
Phase correlation
Spatial modes
Synchronization dynamics
Time-scales
Phase modulation
Relaxation oscillators
spellingShingle Coupled phase oscillators
Interaction ranges
Mean-field
One-dimensional lattice
Phase correlation
Spatial modes
Synchronization dynamics
Time-scales
Phase modulation
Relaxation oscillators
Uriu, K.
Ares, S.
Oates, A.C.
Morelli, L.G.
Dynamics of mobile coupled phase oscillators
topic_facet Coupled phase oscillators
Interaction ranges
Mean-field
One-dimensional lattice
Phase correlation
Spatial modes
Synchronization dynamics
Time-scales
Phase modulation
Relaxation oscillators
description We study the transient synchronization dynamics of locally coupled phase oscillators moving on a one-dimensional lattice. Analysis of spatial phase correlation shows that mobility speeds up relaxation of spatial modes and leads to faster synchronization. We show that when mobility becomes sufficiently high, it does not allow spatial modes to form and the population of oscillators behaves like a mean-field system. Estimating the relaxation timescale of the longest spatial mode and comparing it with systems with long-range coupling, we reveal how mobility effectively extends the interaction range. © 2013 American Physical Society.
format JOUR
author Uriu, K.
Ares, S.
Oates, A.C.
Morelli, L.G.
author_facet Uriu, K.
Ares, S.
Oates, A.C.
Morelli, L.G.
author_sort Uriu, K.
title Dynamics of mobile coupled phase oscillators
title_short Dynamics of mobile coupled phase oscillators
title_full Dynamics of mobile coupled phase oscillators
title_fullStr Dynamics of mobile coupled phase oscillators
title_full_unstemmed Dynamics of mobile coupled phase oscillators
title_sort dynamics of mobile coupled phase oscillators
url http://hdl.handle.net/20.500.12110/paper_15393755_v87_n3_p_Uriu
work_keys_str_mv AT uriuk dynamicsofmobilecoupledphaseoscillators
AT aress dynamicsofmobilecoupledphaseoscillators
AT oatesac dynamicsofmobilecoupledphaseoscillators
AT morellilg dynamicsofmobilecoupledphaseoscillators
_version_ 1807322064594403328