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Pinning synchronization of the complex networks with non-delayed and delayed coupling. (English) Zbl 1228.05266

Summary: Without assuming the symmetry of the coupling matrix, we investigate the global synchronization of the complex networks with non-delayed and delayed coupling based on the pinning controllers. Some sufficient conditions for the global synchronization by adding linear and adaptive feedback controllers to a part of nodes are obtained. Numerical examples are also provided to demonstrate the effectiveness of the theory.

MSC:

05C82 Small world graphs, complex networks (graph-theoretic aspects)
34D06 Synchronization of solutions to ordinary differential equations
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