Collective stochastic coherence and synchronizability in weighted scale-free networks

Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their...

Descripción completa

Detalles Bibliográficos
Autor principal: Balenzuela, Pablo
Publicado: 2014
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v16_n_p_Balenzuela
http://hdl.handle.net/20.500.12110/paper_13672630_v16_n_p_Balenzuela
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13672630_v16_n_p_Balenzuela
record_format dspace
spelling paper:paper_13672630_v16_n_p_Balenzuela2023-06-08T16:12:07Z Collective stochastic coherence and synchronizability in weighted scale-free networks Balenzuela, Pablo Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their response to noise is indistinguishable to that of a single element. Therefore one can expect systems that synchronize well to have a poor collective response to noise. Here we show that, in spite of this apparent conflict, a certain coupling architecture is able to reconcile the two properties. Specifically, our results reveal that weighted scale-free networks of diffusively coupled excitable elements exhibit both high synchronizability of their subthreshold dynamics and a good collective response to noise of their pulsed dynamics. This is established by comparing the behavior of this system to that of random, regular, and unweighted scale-free networks. We attribute the optimal response of weighted scale-free networks to a balance between degree heterogeneity, which ensures a good collective response to noise, and the coupling-strength weighting procedure, which overcomes the paradox of heterogeneity that would otherwise impair synchronization. © 2014 IOP Publishing and Deutsche Physikalische Gesellschaft. Fil:Balenzuela, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v16_n_p_Balenzuela http://hdl.handle.net/20.500.12110/paper_13672630_v16_n_p_Balenzuela
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their response to noise is indistinguishable to that of a single element. Therefore one can expect systems that synchronize well to have a poor collective response to noise. Here we show that, in spite of this apparent conflict, a certain coupling architecture is able to reconcile the two properties. Specifically, our results reveal that weighted scale-free networks of diffusively coupled excitable elements exhibit both high synchronizability of their subthreshold dynamics and a good collective response to noise of their pulsed dynamics. This is established by comparing the behavior of this system to that of random, regular, and unweighted scale-free networks. We attribute the optimal response of weighted scale-free networks to a balance between degree heterogeneity, which ensures a good collective response to noise, and the coupling-strength weighting procedure, which overcomes the paradox of heterogeneity that would otherwise impair synchronization. © 2014 IOP Publishing and Deutsche Physikalische Gesellschaft.
author Balenzuela, Pablo
spellingShingle Balenzuela, Pablo
Collective stochastic coherence and synchronizability in weighted scale-free networks
author_facet Balenzuela, Pablo
author_sort Balenzuela, Pablo
title Collective stochastic coherence and synchronizability in weighted scale-free networks
title_short Collective stochastic coherence and synchronizability in weighted scale-free networks
title_full Collective stochastic coherence and synchronizability in weighted scale-free networks
title_fullStr Collective stochastic coherence and synchronizability in weighted scale-free networks
title_full_unstemmed Collective stochastic coherence and synchronizability in weighted scale-free networks
title_sort collective stochastic coherence and synchronizability in weighted scale-free networks
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v16_n_p_Balenzuela
http://hdl.handle.net/20.500.12110/paper_13672630_v16_n_p_Balenzuela
work_keys_str_mv AT balenzuelapablo collectivestochasticcoherenceandsynchronizabilityinweightedscalefreenetworks
_version_ 1768543244839288832

Ejemplares similares