Cluster Synchronization for Linearly Coupled Chaotic Systems and Neural Networks

摘要：

In this paper, the cluster synchronization for an array of linearly coupled identical chaotic systems arid neural networks is investigated. New coupling schemes (or coupling matrices) are proposed, by which global cluster synchronization of linearly coupled chaotic systems and neural networks can be realized. Here, the number and the size of clusters (or groups)can be arbitrary. Some sufficient criteria to ensure global cluster synclironization are derived. Moreover, for any given coupling matrix, new coupled chaotic systems and neural networks with adaptive coupling strengths are proposed, which can synchronize coupled chaotic systems and neural networks by clusters. Simulations are given to verify the validity of the theory.

关键词： cluster synchronization left eigenvector adaptive coupling strengths

作者: Xiwei Liu Tianping Chen Wenlian Lu

作者单位: Key Laboratory of Nonlinear Science of Chinese Ministry of Education, School of Mathematics,Fudan University, Shanghai 200433, P.R. China

会议类型: 国际会议

会议名称: The First World Congress on Global Optimization in Engineering & Science(第一届工程与科学全局优化国际会议 WCGO2009)

会议地点: 长沙

会议语种:英文

页码: 743-748

在线出版日期: 2009-06-01（万方平台首次上网日期，不代表论文的发表时间）