Synchronizing high dimensional chaotic systems via eigenvalue placement with application to cellular neural networks. (English) Zbl 0980.37032

Grassi, Giuseppe; Mascolo, Saverio

Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 4, 705-711 (1999).

Summary: In this paper a method for synchronizing high dimensional chaotic systems is developed. The objective is to generate a linear error dynamics between the master and the slave systems, so that synchronization is achievable by exploiting the controllability property of linear systems. The suggested approach is applied to Cellular Neural Networks (CNNs), which can be considered as a tool for generating complex hyperchaotic behaviors. Numerical simulations are carried out for synchronizing CNNs constituted by Chua’s circuits.

MSC:

37M05	Simulation of dynamical systems
93C15	Control/observation systems governed by ordinary differential equations
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Keywords:

eigenvalue placement; cellular neural networks; synchronization

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