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Sun, Mei; Zeng, Changyan; Tian, Lixin

Linear generalized synchronization between two complex networks. (English) Zbl 1222.93088

Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2162-2167 (2010).
Summary: The linear generalized synchronization between two complex networks is investigated. Based on the Lyapunov stability theory, a simple criterion for linear generalized synchronization between two networks with the same connection topologies is attained by using the nonlinear control method, which can widen the application range of the generalized synchronization methods. The feasibility of the proposed scheme is proved in theory and numerical simulations further demonstrate the effectiveness of it.

Cited in 22 Documents

MSC:

93B52 Feedback control
37N35 Dynamical systems in control
34D06 Synchronization of solutions to ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Keywords:

networks; linear generalized synchronization; nonlinear control method
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\textit{M. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2162--2167 (2010; Zbl 1222.93088)
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