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Effects of assortative mixing in the second-order Kuramoto model

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Author(s):
Peron, Thomas K. D. M. ; Ji, Peng ; Rodrigues, Francisco A. ; Kurths, Jurgen
Total Authors: 4
Document type: Journal article
Source: Physical Review E; v. 91, n. 5, p. 6-pg., 2015-05-11.
Abstract

In this paper we analyze the second-order Kuramoto model in the presence of a positive correlation between the heterogeneity of the connections and the natural frequencies in scale-free networks. We numerically show that discontinuous transitions emerge not just in disassortative but also in strongly assortative networks, in contrast with the first-order model. We also find that the effect of assortativity on network synchronization can be compensated by adjusting the phase damping. Our results show that it is possible to control collective behavior of damped Kuramoto oscillators by tuning the network structure or by adjusting the dissipation related to the phases' movement. (AU)

FAPESP's process: 10/19440-2 - Characterization, analysis, simulation and classification of complex networks
Grantee:Francisco Aparecido Rodrigues
Support Opportunities: Regular Research Grants
FAPESP's process: 12/22160-7 - Synchronization of Kuramoto Oscillators in Complex Networks
Grantee:Thomas Kaue Dal Maso Peron
Support Opportunities: Scholarships in Brazil - Doctorate