Synchronization of an evolving complex hyper-network
Abstract
In this paper, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. An evolving hyper-network model is proposed for better describing some complex systems. A concept of joint degree is introduced, and the evolving mechanism of hyper-network is given with respect to the joint degree. The hyper-degree distribution of the proposed evolving hyper-network is derived based on a rate equation method and obeys a power law distribution. Furthermore, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. By calculating the joint degree matrix, several simple yet useful synchronization criteria are obtained and illustrated by several numerical examples.
Cite
@article{arxiv.1211.2905,
title = {Synchronization of an evolving complex hyper-network},
author = {Zhaoyan Wu and Jinqiao Duan and Xinchu Fu},
journal= {arXiv preprint arXiv:1211.2905},
year = {2015}
}
Comments
9 pages, 5 figures