Comparison between the dynamic behaviour of Chua–Yang and full‐range cellular neural networks

The mathematical model of a cellular neural network (CNN) consists of a large set of coupled non-linear differential equations that has been mainly studied through numerical simulations; the knowledge of the dynamic behaviour is essential for developing rigorous design methods and for establishing new applications. This manuscript is devoted to a comparison of the dynamic behaviours of two CNN models: the original Chua–Yang model and the full-range model that was exploited for VLSI implementations. It is shown that, even if the two models exhibit similar properties, they are not topologically equivalent, i.e. there exist sets of identical parameters for which they present a qualitatively different dynamic behaviour. Copyright © 2003 John Wiley & Sons, Ltd.