Explosive Synchronization Transitions in Scale-free Networks

Details Explosive Synchronization Transitions in Scale-free Networks Explosive Synchronization Transitions in Scale-free Networks

2011-02-23

arxiv.org/abs/1102.4823v1

Physical Review Letters 106 (2011) 128701

Physics

Condensed Matter

Statistical Mechanics

6 pages and 5 figures. To appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.106.128701

The emergence of explosive collective phenomena has recently attracted much attention due to the discovery of an explosive percolation transition in complex networks. In this Letter, we demonstrate how an explosive transition shows up in the synchronization of complex heterogeneous networks by incorporating a microscopic correlation between the structural and the dynamical properties of the system. The characteristics of this explosive transition are analytically studied in a star graph reproducing the results obtained in synthetic scale-free networks. Our findings represent the first abrupt synchronization transition in complex networks thus providing a deeper understanding of the microscopic roots of explosive critical phenomena.

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