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In this paper a CNN vector-disease model is investigated from the point of view of its dynamics. Existence of the travelling waves for such model is proved.
Dynam}c behav}or of a new class of information-processing systems called Cellular Neural Networks s investigated. In th}s paper we introduce a small parameter n the state equat}on of a cellular neural network and we seek for period}c phenomena. New approach is used for proving stability of a cellular neural network by constructing Lyapunov's major}z}ng… (More)
The nonlinear diffusion PDE have been broadly applied in image processing. In this paper we propose a convection - diffusion filter by adding a convection term in the modified diffusion equation as a physical interpretation for removing the noise. We study the dynamics of such equations by the discretization of this convection - diffusion model via Cellular… (More)