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Estudo do fenômeno da sincronização explosiva em modelos de Kuramoto
Texto completo | |
Autor(es): |
Pinto, Rafael S.
;
Saa, Alberto
Número total de Autores: 2
|
Tipo de documento: | Artigo Científico |
Fonte: | Physical Review E; v. 91, n. 2, p. 10-pg., 2015-02-27. |
Resumo | |
Networks of Kuramoto oscillators with a positive correlation between the oscillators frequencies and the degree of their corresponding vertices exhibit so-called explosive synchronization behavior, which is nowunder intensive investigation. Here we study and discuss explosive synchronization in a situation that has not yet been considered, namely when only a part, typically a small part, of the vertices is subjected to a degree-frequency correlation. Our results show that in order to have explosive synchronization, it suffices to have degree-frequency correlations only for the hubs, the vertices with the highest degrees. Moreover, we show that a partial degree-frequency correlation does not only promotes but also allows explosive synchronization to happen in networks for which a full degree-frequency correlation would not allow it. We perform a mean-field analysis and our conclusions were corroborated by exhaustive numerical experiments for synthetic networks and also for the undirected and unweighed version of a typical benchmark biological network, namely the neural network of the worm Caenorhabditis elegans. The latter is an explicit example where partial degree-frequency correlation leads to explosive synchronization with hysteresis, in contrast with the fully correlated case, for which no explosive synchronization is observed. (AU) | |
Processo FAPESP: | 13/09357-9 - Física e geometria do espaço-tempo |
Beneficiário: | Alberto Vazquez Saa |
Modalidade de apoio: | Auxílio à Pesquisa - Temático |