RT Journal Article
T1 Effects of degree correlations on the explosive synchronization of scale-free networks
A1 Sendiña Nadal, Irene
A1 Leyva, Irene
A1 Navas, Adrián
A1 Villacorta Atienza, José Antonio
A1 Almendral, Juan
A1 Wang, Zou
A1 Bocalletti, Stephano
AB 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.
PB American Physical Society
SN 2470-0045
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/96322
UL https://hdl.handle.net/20.500.14352/96322
LA eng
NO Ministerio de Economía y Competitividad (España)
NO INCE Foundation
NO National Natural Science Foundation of China
DS Docta Complutense
RD 4 ago 2024