2013/03/31 by Peng Ji, Thomas K. DM. Peron, Peter J. Menck +2 · 2 citations
Physics and Astronomy · #nlin.AO #physics.soc-ph
paper · pdf · doi:10.1103/physrevlett.110.218701
5 Pages,4 figures
arxiv created 2013/05/07 · arxiv updated 2015/06/15
The emergence of explosive synchronization has been reported as an abrupt transition in complex networks of first-order Kuramoto oscillators. In this Letter, we demonstrate that the nodes in a second-order Kuramoto model, perform a cascade of transitions toward a synchronous macroscopic state, which is a novel phenomenon that we call cluster explosive synchronization. We provide a rigorous analytical treatment using a mean-field analysis in uncorrelated networks. Our findings are in good agreement with numerical simulations and fundamentally deepen the understanding of microscopic mechanisms toward synchronization.