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Generalized outer synchronization between complex dynamical networks. (English) Zbl 1311.34119

Summary: In this paper, the problem of generalized outer synchronization between two completely different complex dynamical networks is investigated. With a nonlinear control scheme, a sufficient criterion for this generalized outer synchronization is derived based on Barbalat’s lemma. Two corollaries are also obtained, which contains the situations studied in two lately published papers as special cases. Numerical simulations further demonstrate the feasibility and effectiveness of the theoretical results.{
©2009 American Institute of Physics}

MSC:

34D06 Synchronization of solutions to ordinary differential equations
05C82 Small world graphs, complex networks (graph-theoretic aspects)
37N35 Dynamical systems in control

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