Effect of assortative mixing in the second-order Kuramoto model
arXiv:1504.05447 · doi:10.1103/PhysRevE.91.052805
Abstract
In this paper we analyze the second-order Kuramoto model presenting 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 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.
arXiv comment7 pages, 6 figures. In press in Physical Review E
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- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
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