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Zheng, Song; Wang, Shuguo; Dong, Gaogao; Bi, Qinsheng

Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling. (English) Zbl 1239.93060

Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 284-291 (2012).
Summary: This paper investigates the adaptive synchronization between two nonlinearly delay-coupled complex networks with the bidirectional actions and nonidentical topological structures. Based on LaSalle’s invariance principle, some criteria for the synchronization between two coupled complex networks are achieved via adaptive control. To validate the proposed methods, the unified chaotic system as the nodes of the networks are analyzed in detail, and numerical simulations are given to illustrate the theoretical results.

Cited in 34 Documents

MSC:

93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
34H10 Chaos control for problems involving ordinary differential equations

Keywords:

complex networks; nonlinearly coupled systems; synchronization; time delay; adaptive control
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\textit{S. Zheng} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 284--291 (2012; Zbl 1239.93060)
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