Extracting topological features from dynamical measures in networks of Kuramoto oscillators

The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of nonequilibrium transitions between an incoherent and a synchronized state. Here we analyze populations of almost identical oscillators in arbitrary interaction networks. Our aim is to extract topological fea...

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Detalles Bibliográficos
Autores: Prignano, Luce, Díaz Guilera, Albert
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/119617
Acceso en línea:https://hdl.handle.net/2445/119617
Access Level:acceso abierto
Palabra clave:Sincronització
Models matemàtics
Oscil·lacions
Synchronization
Mathematical models
Oscillations
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spelling Extracting topological features from dynamical measures in networks of Kuramoto oscillatorsPrignano, LuceDíaz Guilera, AlbertSincronitzacióModels matemàticsOscil·lacionsSynchronizationMathematical modelsOscillationsThe Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of nonequilibrium transitions between an incoherent and a synchronized state. Here we analyze populations of almost identical oscillators in arbitrary interaction networks. Our aim is to extract topological features of the connectivity pattern from purely dynamical measures based on the fact that in a heterogeneous network the global dynamics is not only affected by the distribution of the natural frequencies but also by the location of the different values. In order to perform a quantitative study we focused on a very simple frequency distribution considering that all the frequencies are equal but one, that of the pacemaker node. We then analyze the dynamical behavior of the system at the transition point and slightly above it as well as very far from the critical point, when it is in a highly incoherent state. The gathered topological information ranges from local features, such as the single-node connectivity, to the hierarchical structure of functional clusters and even to the entire adjacency matrix.American Physical Society2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/119617Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1103/PhysRevE.85.036112Physical Review E, 2012, vol. 85, num. 3, p. 036112-1-036112-10https://doi.org/10.1103/PhysRevE.85.036112(c) American Physical Society, 2012info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1196172026-05-27T06:46:51Z
dc.title.none.fl_str_mv Extracting topological features from dynamical measures in networks of Kuramoto oscillators
title Extracting topological features from dynamical measures in networks of Kuramoto oscillators
spellingShingle Extracting topological features from dynamical measures in networks of Kuramoto oscillators
Prignano, Luce
Sincronització
Models matemàtics
Oscil·lacions
Synchronization
Mathematical models
Oscillations
title_short Extracting topological features from dynamical measures in networks of Kuramoto oscillators
title_full Extracting topological features from dynamical measures in networks of Kuramoto oscillators
title_fullStr Extracting topological features from dynamical measures in networks of Kuramoto oscillators
title_full_unstemmed Extracting topological features from dynamical measures in networks of Kuramoto oscillators
title_sort Extracting topological features from dynamical measures in networks of Kuramoto oscillators
dc.creator.none.fl_str_mv Prignano, Luce
Díaz Guilera, Albert
author Prignano, Luce
author_facet Prignano, Luce
Díaz Guilera, Albert
author_role author
author2 Díaz Guilera, Albert
author2_role author
dc.subject.none.fl_str_mv Sincronització
Models matemàtics
Oscil·lacions
Synchronization
Mathematical models
Oscillations
topic Sincronització
Models matemàtics
Oscil·lacions
Synchronization
Mathematical models
Oscillations
description The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of nonequilibrium transitions between an incoherent and a synchronized state. Here we analyze populations of almost identical oscillators in arbitrary interaction networks. Our aim is to extract topological features of the connectivity pattern from purely dynamical measures based on the fact that in a heterogeneous network the global dynamics is not only affected by the distribution of the natural frequencies but also by the location of the different values. In order to perform a quantitative study we focused on a very simple frequency distribution considering that all the frequencies are equal but one, that of the pacemaker node. We then analyze the dynamical behavior of the system at the transition point and slightly above it as well as very far from the critical point, when it is in a highly incoherent state. The gathered topological information ranges from local features, such as the single-node connectivity, to the hierarchical structure of functional clusters and even to the entire adjacency matrix.
publishDate 2012
dc.date.none.fl_str_mv 2012
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/2445/119617
url https://hdl.handle.net/2445/119617
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/10.1103/PhysRevE.85.036112
Physical Review E, 2012, vol. 85, num. 3, p. 036112-1-036112-10
https://doi.org/10.1103/PhysRevE.85.036112
dc.rights.none.fl_str_mv (c) American Physical Society, 2012
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2012
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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