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Comparison between the dynamic behaviour of Chua–Yang and full‐range cellular neural networks
Author(s) -
Corinto F.,
Gilli M.
Publication year - 2003
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.241
Subject(s) - cellular neural network , range (aeronautics) , artificial neural network , computer science , set (abstract data type) , implementation , dynamic range , very large scale integration , mathematics , algorithm , artificial intelligence , engineering , embedded system , computer vision , programming language , aerospace engineering
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.