Explosive synchronization in adaptive and multilayer networks.

By Xiyun Zhang, Stefano Boccaletti, Shuguang Guan, Zonghua Liu. Physical Review Letters, 2014

316 citations recorded by the source corpus.

At this time, explosive synchronization (ES) of networked oscillators is thought of as being rooted in the setting of specific microscopic correlation features between the natural frequencies of the oscillators and their effective coupling strengths. We show that ES is, in fact, far more general and can occur in adaptive and multilayer networks in the absence of such correlation properties. We first report evidence of ES for single-layer networks where a fraction f of the nodes have links adaptively controlled by a local order parameter, and we then extend the study to a variety of two-layer networks with a fraction f of their nodes coupled with each other by means of dependency links. In the latter case, we give evidence of ES regardless of the differences in the frequency distribution, in the topology of connections between the layers, or both. Finally, we provide a rigorous, analytical treatment to properly ground all of the observed scenarios and to advance the understanding of the actual mechanisms at the basis of ES in real-world systems.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4af5a9ce6596904a7c3645a544b54013ef6487dc

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In Statistical and Nonlinear Physics

Citations in the corpus

The Kuramoto model in complex networks (2015, background): “in [181] reinforced the idea that the necessary condition for the emergence of explosive synchronization is not the correlation between topology and intrinsic dynamics in networks nor a sufficient frequency mismatch among the oscillators, but rather the existence of any suppressive rule that impedes”
Anomalous critical and supercritical phenomena in explosive percolation (2015, background): “A recent study revealed that suppressing the formation of large clusters is the common mechanism underlying all now explored models of explosive synchronization [59], linking the mechanism with EP.”
Statistical physics of vaccination (2016, background): “Not surprisingly, multilayer networks have recently been the subject of many novel frameworks to study various dynamical processes, such as epidemic spreading [216, 231, 372, 604], diffusion [342], voting [605], synchronization [606], and the evolution of cooperation in game-theoretical models [607,”
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization (2016, background): “[21] extended the analysis to the situation where each node has a one-to-one partner with the same index i.”