一类节点数不同的不确定时空网络的指数外同步  

A Class of Exponential Outer Synchronization Between Uncertain Spatiotemporal Networks With Different Numbers of Nodes

作　　者：荣婷婷[1] 高艳[1] 颜哲[1] 

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《应用数学和力学》2018年第2期215-225,共11页Applied Mathematics and Mechanics

摘　　要：研究了节点数不同的不确定时空网络的指数外同步问题.首先,基于Lyapunov稳定性定理,通过设计合理的控制器,实现了两个节点数不同的不确定时空网络的指数外同步.进一步确定了表示网络拓扑结构的耦合矩阵元和反馈强度的自适应律.最后,以一维Burgers系统和Logistic系统构成的时空网络为例进行了仿真模拟.结果表明,整个网络存在稳定的指数外同步现象.并且同步的速率依赖于可调参数,而网络节点数不影响整个网络同步的稳定性,说明该同步方案具有一定的普适性.The problem of exponential outer synchronization between uncertain spatiotemporal networks with different numbers of nodes was studied. Firstly,based on the Lyapunov stability theorem,an appropriate controller was designed to realize exponential outer synchronization between uncertain spatiotemporal networks with different numbers of nodes. The adaptive law of the coupling matrix elements representing the topological structure of the network and the feedback strength was further identified. Finally,with the spatiotemporal network composed of the 1 D Burgers system and the Logistic system as an example for numerical simulation. The results show that there exist stable external synchronization phenomena in the whole network. Furthermore,the synchronization speed depends on the adjustable parameters,and the number of network nodes does not affect the stability of the whole network synchronization. The proposed synchronization scheme has certain universality.

关 键 词：指数外同步 时空网络 不确定参数 LYAPUNOV稳定性定理 

分 类 号：O415[理学—理论物理]