Dynamic properties of cellular neural networks. (1993)

• Record Type: Journal Article
• Authors: Slavova Slavova, Angela Angela
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 6:Number 2(1993)
• Page Start: 107
• Page End: 116
• Publication Date: 1993
• Subjects: cellular neural networks -- cellular automata -- Lyapunov's majorant -- finite majorizing equations; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953393000103
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : 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.