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Generalized outer synchronization between complex dynamical networks with time delay and noise perturbation
Authors:Yongzheng Sun  Wang Li  Jiong Ruan
Affiliation:1. School of Sciences, China University of Mining and Technology, Xuzhou 221008, PR China;2. School of Mathematical Sciences, Research Center for Nonlinear Sciences, Fudan University, Shanghai 200433, PR China
Abstract:In this paper, the generalized outer synchronization between two different delay-coupled complex dynamical networks with noise perturbation is investigated. With a nonlinear control scheme, the sufficient condition for almost sure generalized outer synchronization is developed based on the LaSalle-type invariance principle for stochastic differential equations. Numerical examples are examined to illustrate the effectiveness of the analytical results. The theoretic result is also applied to investigate the outer synchronization between two delay-coupled Hindmarsh–Rose neuronal networks with noise perturbation.
Keywords:
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