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Dynamic properties of cellular neural networks

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  • Angela Slavova

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.

Suggested Citation

  • Angela Slavova, 1993. "Dynamic properties of cellular neural networks," International Journal of Stochastic Analysis, Hindawi, vol. 6, pages 1-10, January.
    • Handle: RePEc:hin:jnijsa:287839
    DOI: 10.1155/S1048953393000103
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