Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 2, Pages 107-116

Dynamic properties of cellular neural networks

Angela Slavova

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.