Periodic synchronization of community networks with non-identical nodes uncertain parameters and adaptive coupling strength
Chai Yuan (柴元)a, Chen Li-Qun (陈立群)a b c
a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; b Department of Mechanics, Shanghai University, Shanghai 200444, China; c Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
Abstract In this paper, we propose a novel approach for simultaneously identifying unknown parameters and synchronizing time-delayed complex community networks with nonidentical nodes. Based on the LaSalle’s invariance principle, a criterion is established by constructing an effective control identification scheme and adjusting automatically the adaptive coupling strength. The proposed control law is applied to a complex community network which is periodically synchronized with different chaotic states. Numerical simulations are conducted to demonstrate the feasibility of the proposed method.
Fund: Project supported by the Key Program of the National Natural Science of China (Grant No. 11232009) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).
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