Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization

Complex networks are essentially heterogeneous not only in the basic properties of the constituent nodes, such as their degree, but also in the effects that these have on the global dynamical properties of the network. Networks of coupled identical phase oscillators are good examples for analyzing t...

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Detalles Bibliográficos
Autores: Rosell-Tarragó, Gemma, Díaz Guilera, Albert
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/148259
Acceso en línea:https://hdl.handle.net/2445/148259
Access Level:acceso abierto
Palabra clave:Xarxes (Matemàtica)
Sincronització
Sistemes complexos
Nets (Mathematics)
Synchronization
Complex systems
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spelling Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronizationRosell-Tarragó, GemmaDíaz Guilera, AlbertXarxes (Matemàtica)SincronitzacióSistemes complexosNets (Mathematics)SynchronizationComplex systemsComplex networks are essentially heterogeneous not only in the basic properties of the constituent nodes, such as their degree, but also in the effects that these have on the global dynamical properties of the network. Networks of coupled identical phase oscillators are good examples for analyzing these effects, since an overall synchronized state can be considered a reference state. A small variation of intrinsic node parameters may cause the system to move away from synchronization, and a new phase-locked stationary state can be achieved. We propose a measure of phase dispersion that quantifies the functional response of the system to a given local perturbation. As a particular implementation, we propose a variation of the standard Kuramoto model in which the nodes of a complex network interact with their neighboring nodes, by including a node-dependent frustration parameter. The final stationary phase-locked state now depends on the particular frustration parameter at each node and also on the network topology. We exploit this scenario by introducing individual frustration parameters and measuring what their effect on the whole network is, measured in terms of the phase dispersion, which depends only on the topology of the network and on the choice of the particular node that is perturbed. This enables us to define a characteristic of the node, its functionability, that can be computed analytically in terms of the network topology. Finally, we provide a thorough comparison with other centrality measures.American Institute of Physics202020202020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion20 p.application/pdfhttps://hdl.handle.net/2445/148259Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.1063/1.5099621Chaos, 2020, vol. 30, p. 013105https://doi.org/10.1063/1.5099621cc by (c) Rosell-Tarragó et al., 2020http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1482592026-05-29T05:05:01Z
dc.title.none.fl_str_mv Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
title Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
spellingShingle Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
Rosell-Tarragó, Gemma
Xarxes (Matemàtica)
Sincronització
Sistemes complexos
Nets (Mathematics)
Synchronization
Complex systems
title_short Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
title_full Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
title_fullStr Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
title_full_unstemmed Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
title_sort Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization
dc.creator.none.fl_str_mv Rosell-Tarragó, Gemma
Díaz Guilera, Albert
author Rosell-Tarragó, Gemma
author_facet Rosell-Tarragó, Gemma
Díaz Guilera, Albert
author_role author
author2 Díaz Guilera, Albert
author2_role author
dc.subject.none.fl_str_mv Xarxes (Matemàtica)
Sincronització
Sistemes complexos
Nets (Mathematics)
Synchronization
Complex systems
topic Xarxes (Matemàtica)
Sincronització
Sistemes complexos
Nets (Mathematics)
Synchronization
Complex systems
description Complex networks are essentially heterogeneous not only in the basic properties of the constituent nodes, such as their degree, but also in the effects that these have on the global dynamical properties of the network. Networks of coupled identical phase oscillators are good examples for analyzing these effects, since an overall synchronized state can be considered a reference state. A small variation of intrinsic node parameters may cause the system to move away from synchronization, and a new phase-locked stationary state can be achieved. We propose a measure of phase dispersion that quantifies the functional response of the system to a given local perturbation. As a particular implementation, we propose a variation of the standard Kuramoto model in which the nodes of a complex network interact with their neighboring nodes, by including a node-dependent frustration parameter. The final stationary phase-locked state now depends on the particular frustration parameter at each node and also on the network topology. We exploit this scenario by introducing individual frustration parameters and measuring what their effect on the whole network is, measured in terms of the phase dispersion, which depends only on the topology of the network and on the choice of the particular node that is perturbed. This enables us to define a characteristic of the node, its functionability, that can be computed analytically in terms of the network topology. Finally, we provide a thorough comparison with other centrality measures.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/148259
url https://hdl.handle.net/2445/148259
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1063/1.5099621
Chaos, 2020, vol. 30, p. 013105
https://doi.org/10.1063/1.5099621
dc.rights.none.fl_str_mv cc by (c) Rosell-Tarragó et al., 2020
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc by (c) Rosell-Tarragó et al., 2020
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 20 p.
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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