具有不等集群结构的离散时空网络间同步  

OUTER SYNCHRONIZATION BETWEEN COMMUNITY SPATIOTEMPORAL NETWORKS WITH NONIDENTICAL NODES

作　　者：柳爽 李宽 张润泽 Liu Shuang;Li Kuan;Zhang Runze(School of Mechanical Engineering,Shanghai Institute of Technology,Shanghai 201418,China)

机构地区：[1]上海应用技术大学机械工程学院,上海201418

出　　处：《动力学与控制学报》2021年第5期13-22,共10页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11602146,11872304);上海市自然科学基金资助项目(18ZR1438200);上海市“晨光计划”资助项目(16CG65)。

摘　　要：本文研究了一类具有不等集群结构的离散网络间的投影同步问题.根据集群网络的拓扑特性,设计了一种自适应的同步控制方法.基于Lyapunov稳定性理论,给出了实现两个离散网络同步所需的控制器以及同步参量的识别率.最后选取三种不同的时空混沌系统作为不同集群所对应的节点进行仿真分析,结果证明了该方法的正确性.In this paper,projective synchronization between spatiotemporal networks with community structure and nonidentical nodes is investigated.Nodes in the same community are governed by the same dynamical function,while the functions for different communities are different.Based on topological characteristics of discrete spatiotemporal networks,an adaptive synchronous control method is designed.Several sufficient conditions for achieving projective synchronization are obtained by Lyapunov stability theory,which are further verified numerically by three different spatiotemporal chaotic networks.

关 键 词：复杂网络 时空混沌 同步 参量辨识 

分 类 号：O415.5[理学—理论物理] O157.5[理学—物理]