Effects of assortative mixing in the second-order Kuramoto model

Thomas K. D. M. Peron*, Peng Ji, Francisco A. Rodrigues, Jurgen Kurths

*Corresponding author for this work

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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.

Original languageEnglish
Article number052805
Number of pages6
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume91
Issue number5
DOIs
Publication statusPublished - 11 May 2015

Keywords

  • scale-free networks
  • complex networks
  • phase oscillators
  • synchronization
  • stability
  • transition
  • paradign
  • inertia

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