Consistency of heterogeneous synchronization patterns in complex weighted networks

All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)

Bibliographic Details
Authors: Malagarriga Guasch, Daniel, Villa, Alessandro, García Ojalvo, Jordi|||0000-0002-3716-7520, Pons Rivero, Antonio Javier|||0000-0002-1481-8159
Format: article
Publication Date:2017
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/103772
Online Access:https://hdl.handle.net/2117/103772
https://dx.doi.org/10.1063/1.4977972
Access Level:Open access
Keyword:Nonlinear systems
Networks
Networks topology
Synchronization
Cluster analysis
Coupled oscillators
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística
id ES_17f69bfefad24eccd3260d0a34e1ff27
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network_acronym_str ES
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repository_id_str
spelling Consistency of heterogeneous synchronization patterns in complex weighted networksMalagarriga Guasch, DanielVilla, AlessandroGarcía Ojalvo, Jordi|||0000-0002-3716-7520Pons Rivero, Antonio Javier|||0000-0002-1481-8159Nonlinear systemsNetworksNetworks topologySynchronizationCluster analysisCoupled oscillatorsSistemes no linealsÀrees temàtiques de la UPC::FísicaÀrees temàtiques de la UPC::Matemàtiques i estadísticaAll article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)Synchronization within the dynamical nodes of a complex network is usually considered homogeneous through all the nodes. Here we show, in contrast, that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or asymmetries in small networks. We also analyze consistency, defined as the persistence of coexistent synchronization patterns regardless of the initial conditions. Our results show that complex weighted networks display richer consistency than regular networks, suggesting why certain functional network topologies are often constructed when experimental data are analyzed. Dynamical systems may synchronize in several ways, at the same time, when they are coupled in a single complex network. Examples of this diversity of synchronization patterns may be found in research fields as diverse as neuroscience, climate networks, or ecosystems. Here we report the conditions required to obtain coexisting synchronizations in arrangements of interacting chaotic oscillators, and relate these conditions to the distribution of coupling weights and asymmetries in complex networks. We also analyze the conditions required for a high statistical occurrence of the same synchronization patterns, regardless of the oscillators' initial conditions. Our results show that these persistent synchronization patterns are statistically more frequent in complex weighted networks than in regular ones, explaining why certain functional network topologies are often retrieved from experimental data. Besides, our results suggest that considering both the different coexisting synchronizations and also their statistics may result in a richer understanding of the relations between functional and structural networks of oscillators.Peer ReviewedInstitute of Physics (IOP)20172017-03-1020172017-04-27journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/103772https://dx.doi.org/10.1063/1.4977972reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 3.0 Spainhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1037722026-05-27T15:37:01Z
dc.title.none.fl_str_mv Consistency of heterogeneous synchronization patterns in complex weighted networks
title Consistency of heterogeneous synchronization patterns in complex weighted networks
spellingShingle Consistency of heterogeneous synchronization patterns in complex weighted networks
Malagarriga Guasch, Daniel
Nonlinear systems
Networks
Networks topology
Synchronization
Cluster analysis
Coupled oscillators
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Consistency of heterogeneous synchronization patterns in complex weighted networks
title_full Consistency of heterogeneous synchronization patterns in complex weighted networks
title_fullStr Consistency of heterogeneous synchronization patterns in complex weighted networks
title_full_unstemmed Consistency of heterogeneous synchronization patterns in complex weighted networks
title_sort Consistency of heterogeneous synchronization patterns in complex weighted networks
dc.creator.none.fl_str_mv Malagarriga Guasch, Daniel
Villa, Alessandro
García Ojalvo, Jordi|||0000-0002-3716-7520
Pons Rivero, Antonio Javier|||0000-0002-1481-8159
author Malagarriga Guasch, Daniel
author_facet Malagarriga Guasch, Daniel
Villa, Alessandro
García Ojalvo, Jordi|||0000-0002-3716-7520
Pons Rivero, Antonio Javier|||0000-0002-1481-8159
author_role author
author2 Villa, Alessandro
García Ojalvo, Jordi|||0000-0002-3716-7520
Pons Rivero, Antonio Javier|||0000-0002-1481-8159
author2_role author
author
author
dc.subject.none.fl_str_mv Nonlinear systems
Networks
Networks topology
Synchronization
Cluster analysis
Coupled oscillators
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Nonlinear systems
Networks
Networks topology
Synchronization
Cluster analysis
Coupled oscillators
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística
description All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-03-10
2017
2017-04-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/103772
https://dx.doi.org/10.1063/1.4977972
url https://hdl.handle.net/2117/103772
https://dx.doi.org/10.1063/1.4977972
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 3.0 Spain
http://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 3.0 Spain
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Physics (IOP)
publisher.none.fl_str_mv Institute of Physics (IOP)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869403954187599872
score 15,301603

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