Effect of Noise on the Synchronization of Bidirectionally Coupled Time-Delayed Systems
Effect of noise on synchronization of bidirectionally coupled Ikeda systems is investigated.Suf cient conditions for the complete synchronization are rigorously established by means of the so-called LaSalle-type invariance principle for stochastic differential equations.Numerical simulations are provided to illustrate the effectiveness of the theoretical results.The simulation results show that the average error in synchronization exhibits a nonmonotonic behavior with the noise amplitude. Furthermore,the simulation results show that synchronization of identical time-delayed systems subjected to the common noise can be achieved for large enough noise amplitudes.
SUN Yongzheng MENG Qingxin LIU Maoxing SUN Xuming
School of Sciences,China University of Mining and Technology,Xuzhou,221008,P.R.China Department of Mathematics,Huzhou University,Huzhou,313000,P.R.China Department of Mathematics,North University of China,Taiyuan 030051,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01(万方平台首次上网日期,不代表论文的发表时间)