Effects of degree correlations on the explosive synchronization of scale-free networks

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dc.contributor.authorSendiña Nadal, Irene
dc.contributor.authorLeyva, Irene
dc.contributor.authorNavas, Adrián
dc.contributor.authorVillacorta Atienza, José Antonio
dc.contributor.authorAlmendral, Juan
dc.contributor.authorWang, Zou
dc.contributor.authorBocalletti, Stephano
dc.date.accessioned2024-01-30T08:48:53Z
dc.date.available2024-01-30T08:48:53Z
dc.date.issued2015
dc.description.abstractWe study the organization of finite-size, large ensembles of phase oscillators networking via scale-free topologies in the presence of a positive correlation between the oscillators’ natural frequencies and the network’s degrees. Under those circumstances, abrupt transitions to synchronization are known to occur in growing scale-free networks, while the transition has a completely different nature for static random configurations preserving the same structure-dynamics correlation. We show that the further presence of degree-degree correlations in the network structure has important consequences on the nature of the phase transition characterizing the passage from the phase-incoherent to the phase-coherent network state. While high levels of positive and negative mixing consistently induce a second-order phase transition, moderate values of assortative mixing, such as those ubiquitously characterizing social networks in the real world, greatly enhance the irreversible nature of explosive synchronization in scale-free networks. The latter effect corresponds to a maximization of the area and of the width of the hysteretic loop that differentiates the forward and backward transitions to synchronization.
dc.description.departmentDepto. de Biodiversidad, Ecología y Evolución
dc.description.facultyFac. de Óptica y Optometría
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (España)
dc.description.sponsorshipINCE Foundation
dc.description.sponsorshipNational Natural Science Foundation of China
dc.description.statuspub
dc.identifier.doi10.1103/PhysRevE.91.032811
dc.identifier.essn2470-0053
dc.identifier.issn2470-0045
dc.identifier.officialurlhttps://doi.org/10.1103/PhysRevE.91.032811
dc.identifier.urihttps://hdl.handle.net/20.500.14352/96322
dc.journal.titlePhysical Review E
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDProjects No. FIS2012-38949-C03-01 and No. FIS2013-41057-P
dc.relation.projectIDProject No. 2014-011
dc.relation.projectIDGrant No. 11005047
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordSF MODEL
dc.subject.keywordInite-size
dc.subject.keywordFísica
dc.subject.ucmCiencias
dc.subject.unesco22 Física
dc.titleEffects of degree correlations on the explosive synchronization of scale-free networks
dc.typejournal article
dc.volume.number91
dspace.entity.typePublication
relation.isAuthorOfPublication21b23d2b-75f8-4803-9370-4e88539b81cc
relation.isAuthorOfPublication.latestForDiscovery21b23d2b-75f8-4803-9370-4e88539b81cc
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