摘要
文章主要研究节点非恒同的适应性复杂动力学网络,通过局部控制和耦合强度的适应性策略实现聚类同步.运用李雅普诺夫稳定性理论,得到了网络中聚类同步流形全局稳定的充分条件,并进一步说明了网络的内耦合矩阵、拓扑结构以及耦合强度对聚类同步的影响.最后,数值模拟验证了理论结果的有效性.
The cluster synchronization in complex network is popular. A complex dynamical network with nonidentical nodes is studied in this paper. Through the local control and the adaptive strategy of coupling strength,cluster synchronization is achieved. According to the Lyapunov stability theory, we obtain the sufficient conditions for stability of the manifold,and explain that the inner-coupling matrix,topology and coupling strength would influence on the cluster synchronization of the network. Finally,the theoretical results are verified by the numerical simulation.
出处
《太原师范学院学报（自然科学版）》
2012年第4期85-87,113,共4页
Journal of Taiyuan Normal University:Natural Science Edition
基金
大学生创新项目(CXSY201107)
关键词
复杂网络
耦合
聚类同步
控制
complex network
cluster synchronization
coupling
control
