Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 2, Pages 107-116
Dynamic properties of cellular neural networks
Center of Mathematics, Technical University, Russe 7017, Bulgaria
Received 1 February 1993; Revised 1 May 1993
Copyright © 1993 Angela Slavova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Dynamic behavior of a new class of information-processing
systems called Cellular Neural Networks is investigated. In this paper we
introduce a small parameter in the state equation of a cellular neural
network and we seek for periodic phenomena. New approach is used for
proving stability of a cellular neural network by constructing Lyapunov's
majorizing equations. This algorithm is helpful for finding a map from
initial continuous state space of a cellular neural network into discrete
output. A comparison between cellular neural networks and cellular
automata is made.