Cluster Explosive Synchronization in Complex Networks

Autor:	Ji, Peng, Peron, Thomas K. DM., Menck, Peter J., Rodrigues, Francisco A., Kurths, Jürgen
Rok vydání:	2013
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems Physics - Physics and Society
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.110.218701
Popis:	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 \textit{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. Comment: 5 Pages,4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.3498 Zobrazit plný text záznamu View this record from Arxiv