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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.)

Effects of assortative mixing in the second-order Kuramoto model

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Peron, Thomas K. D. M. [1] ; Ji, Peng [2, 3] ; Rodrigues, Francisco A. [4] ; Kurths, Jurgen [2, 3, 5]
Total Authors: 4
[1] Univ Sao Paulo, Inst Fis Sao Carlos, Sao Carlos, SP - Brazil
[2] Potsdam Inst Climate Impact Res PIK, D-14473 Potsdam - Germany
[3] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany
[4] Univ Sao Paulo, Dept Matemat Aplicada & Estatist, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
[5] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE - Scotland
Total Affiliations: 5
Document type: Journal article
Source: Physical Review E; v. 91, n. 5 MAY 11 2015.
Web of Science Citations: 17

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