Cluster Explosive Synchronization in Complex Networks
Adaptation and Self-Organizing Systems
2015-06-15 v2 Physics and Society
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 \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.
Cite
@article{arxiv.1303.3498,
title = {Cluster Explosive Synchronization in Complex Networks},
author = {Peng Ji and Thomas K. DM. Peron and Peter J. Menck and Francisco A. Rodrigues and Jürgen Kurths},
journal= {arXiv preprint arXiv:1303.3498},
year = {2015}
}
Comments
5 Pages,4 figures