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Synchronization analysis of complex dynamical networks with delayed and non-delayed coupling based on pinning control. (English) Zbl 1267.34090
This paper considers the synchronisation of a network of subnetworks. Synchronisation within a subnetwork is referred to as “inner synchronisation”, whereas synchronisation of the subnetworks, regardless of their inner synchronisation, is referred to as “outer synchronisation”. The authors consider the case of two subnetworks with unidirectional coupling between them, and show that, for appropriate linear feedback controllers (based on variables from both subnetworks), inner and outer synchronisation can be achieved simultaneously. Numerical simulations of networks of Chua circuits are shown, which agree with the theory.
MSC:
34D06Synchronization
92B20General theory of neural networks (mathematical biology)
34K35Functional-differential equations connected with control problems