物理学报Issue(24)：240502-1-240502-9,9.DOI:10.7498/aps.62.240502
噪声环境下时滞耦合网络的广义投影滞后同步
Generalized projective lag synchronization between delay-coupled networks under circumstance noise
摘要
Abstract
It is well known that time delay and random noise are universal in complex networks. However, the research on the synchroniza-tion of coupled networks that are subjected to delay-coupling and noise perturbation is very rare. In this paper, for two delay-coupled complex networks with different node dynamics, different topological structures and different numbers of nodes, under circumstance noise, the generalized projective lag synchronization between two networks is proposed for the first time. First, a more realistic theoretical framework is constructed for the drive-response network synchronization. Second, according to the LaSalle-type theo-rem for stochastic differential delay equations, we rigorously prove that the generalized projective lag synchronization between the drive-response networks can be achieved almost surely, by introducing an appropriate controller. Furthermore, numerical simulation is employed to verify the theoretical analysis. The results indicate that the drive-response networks can indeed achieve generalized projective lag synchronization, and that the synchronization is independent of time delay and scaling factor. Moreover, the remarkable influences of the update gain and the coupling delay on synchronization speed are revealed through the numerical results.关键词
复杂网络/广义投影滞后同步/随机噪声/时滞Key words
complex networks/generalized projective lag synchronization/random noise/time delay引用本文复制引用
张丽,杨晓丽,孙中奎..噪声环境下时滞耦合网络的广义投影滞后同步[J].物理学报,2013,(24):240502-1-240502-9,9.基金项目
国家自然科学基金(批准号:11272258,11172342)和中央高校基本科研业务费(批准号:GK201302001)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant Nos.11272258,11172342) and the Fundamental Research Fund for the Central Universities, China (Grant No. GK201302001) （批准号:11272258,11172342）
