On the onset of synchronization of Kuramoto oscillators in scale-free networks

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorPeron, Thomas-
Autor(es): dc.creatorMessias, Bruno-
Autor(es): dc.creatorMata, Angélica S.-
Autor(es): dc.creatorRodrigues, Francisco A.-
Autor(es): dc.creatorMoreno, Yamir-
Data de aceite: dc.date.accessioned2026-02-09T12:04:31Z-
Data de disponibilização: dc.date.available2026-02-09T12:04:31Z-
Data de envio: dc.date.issued2020-03-27-
Data de envio: dc.date.issued2020-03-27-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/39454-
Fonte completa do material: dc.identifierhttps://arxiv.org/abs/1905.02256-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1153770-
Descrição: dc.descriptionDespite the great attention devoted to the study of phase oscillators on complex networks in the last two decades, it remains unclear whether scale-free networks exhibit a nonzero critical coupling strength for the onset of synchronization in the thermodynamic limit. Here, we systematically compare predictions from the heterogeneous degree mean-field (HMF) and the quenched mean-field (QMF) approaches to extensive numerical simulations on large networks. We provide compelling evidence that the critical coupling vanishes as the number of oscillators increases for scale-free networks characterized by a power-law degree distribution with an exponent 2<γ≤3, in line with what has been observed for other dynamical processes in such networks. For γ>3, we show that the critical coupling remains finite, in agreement with HMF calculations and highlight phenomenological differences between critical properties of phase oscillators and epidemic models on scale-free networks. Finally, we also discuss at length a key choice when studying synchronization phenomena in complex networks, namely, how to normalize the coupling between oscillators.-
Idioma: dc.languageen-
Publicador: dc.publisherAmerican Physical Society-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourcePhysical Review E-
Título: dc.titleOn the onset of synchronization of Kuramoto oscillators in scale-free networks-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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