This article is cited in 17 papers

Generalized synchronization in complex networks

A. A. Koronovskii, O. I. Moskalenko, A. E. Khramov

Saratov State University

Abstract: The phenomenon of generalized synchronization (GS) in networks with a complex topology of links between elements (nodes) representing chaotic dynamical systems has been studied. It is shown that GS onset in these networks can be detected as the moment of transition of the second-order Lyapunov exponent from a positive to a negative value. The results of the analysis are confirmed by the nearest-neighbor method. It is established that the network topology significantly influences the GS development.

Received: 27.02.2012

 English version: Technical Physics Letters, 2012, 38:10, 924–927

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