Synchronization Transition of Time Delayed Complex Dynamical Networks with Discontinuous Coupling

作     者：孙永征 李望 赵东华 

作者机构：School of MathematicsChina University of Mining and TechnologyXuzhou School of Mathematical SciencesFudan University 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2017年第67卷第1期

页      面：54-60页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No.61681240393 the Fundamental Research Funds for the Central Universities under Grant No.2015XKMS076 

主　　题：complex dynamical network synchronization time delay on-off coupling 

摘      要：This paper investigates the synchronization of time delayed complex dynamical networks with periodical on-off coupling. Both the theoretical and numerical results show that, in spite of time delays and on-off coupling, two networks may synchronize if the coupling strength and the on-off rate are large enough. It is shown that, for undirected and strongly connected networks, the upper bound of time delays for synchronization is a decreasing function of the absolute value of the minimum eigenvalue of the adjacency matrix. The theoretical analysis confirms the numerical results and provides a better understanding of the influence of time delays and on-off coupling on the synchronization transition. The influence of random delays on the synchronization is also discussed.