Use este identificador para citar ou linkar para este item: http://repositorio.ufla.br/jspui/handle/1/39454
Título: On the onset of synchronization of Kuramoto oscillators in scale-free networks
Data do documento: 2019
Editor: American Physical Society
Citação: PERON, T. et al. On the onset of synchronization of Kuramoto oscillators in scale-free networks. Physical Review E, [S.l.], 2019.
Resumo: Despite 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.
URI: https://arxiv.org/abs/1905.02256
http://repositorio.ufla.br/jspui/handle/1/39454
Aparece nas coleções:DFI - Artigos publicados em periódicos

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