%0 Journal Article
%A Sendiña Nadal, Irene
%A Leyva, Irene
%A Navas, Adrián
%A Villacorta Atienza, José Antonio
%A Almendral, Juan
%A Wang, Zou
%A Bocalletti, Stephano
%T Effects of degree correlations on the explosive synchronization of scale-free networks
%D 2015
%@ 2470-0045
%U https://hdl.handle.net/20.500.14352/96322
%X We study the organization of finite-size, large ensembles of phase oscillators networking via scale-free topologies in the presence of a positive correlation between the oscillators’ natural frequencies and the network’s degrees. Under those circumstances, abrupt transitions to synchronization are known to occur in growing scale-free networks, while the transition has a completely different nature for static random configurations preserving the same structure-dynamics correlation. We show that the further presence of degree-degree correlations in the network structure has important consequences on the nature of the phase transition characterizing the passage from the phase-incoherent to the phase-coherent network state. While high levels of positive and negative mixing consistently induce a second-order phase transition, moderate values of assortative mixing, such as those ubiquitously characterizing social networks in the real world, greatly enhance the irreversible nature of explosive synchronization in scale-free networks. The latter effect corresponds to a maximization of the area and of the width of the hysteretic loop that differentiates the forward and backward transitions to synchronization.
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