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Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix. (English) Zbl 1242.93009

Summary: In this paper, we investigate the cluster synchronization problem for networks with nonlinearly coupled non-identical dynamical systems and asymmetrical coupling matrix by using pinning control. We derive sufficient conditions for cluster synchronization for any initial values through a feedback scheme and propose an adaptive feedback algorithm that adjusts the coupling strength. Some numerical examples are then given to illustrate the theoretical results.

MSC:

93A15 Large-scale systems
93C10 Nonlinear systems in control theory
93B52 Feedback control
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