title: Cluster explosive synchronization in complex networks.
abstract: 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.
authors.affiliation: Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany. pengji@pik-potsdam.de
authors.forename: Peng
authors.initials: P
authors.lastname: Ji
authors.forename: Thomas K Dm
authors.initials: TK
authors.lastname: Peron
authors.forename: Peter J
authors.initials: PJ
authors.lastname: Menck
authors.forename: Francisco A
authors.initials: FA
authors.lastname: Rodrigues
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D016000:Cluster Analysis; D003198:Computer Simulation; D008962:Models, Theoretical