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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Explosive synchronization enhanced by time-delayed coupling

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Dal'Maso Peron, Thomas Kaue [1] ; Rodrigues, Francisco A. [2]
Total Authors: 2
[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, BR-13560970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review E; v. 86, n. 1, 2 JUL 6 2012.
Web of Science Citations: 42

This paper deals with the emergence of explosive synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees, and a time delay is included in the system. This assumption allows enhancing the explosive transition to reach a synchronous state. We provide an analytical treatment developed in a star graph, which reproduces results obtained in scale-free networks. Our findings have important implications in understanding the synchronization of complex networks since the time delay is present in most real-world complex systems due to the finite speed of the signal transmission over a distance. (AU)

FAPESP's process: 10/19440-2 - Characterization, analysis, simulation and classification of complex networks
Grantee:Francisco Aparecido Rodrigues
Support Opportunities: Regular Research Grants