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Journals and Conferences
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)
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.
Recently many mathematical models for image processing have been widely applied in computer visualization. The nonlinear diffusion PDE has 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… (More)
Piezoelectrical material with heterogeneities of nano-inclusions is considered in the case when it is subjected to time harmonic electro-mechanical load. The model is defined by the system of two partial differential equations and the boundary conditions for the generalized stress. On the exterior boundary, boundary conditions prescribe traction on the part… (More)
In this paper we study travelling wave solutions of the viscoelastic Burgers' equation. RTD-based Cellular Neural Networks (CNN) model of this equation is presented. Using such realization new wave profiles of the travelling wave solutions are obtained.
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)
This paper deals with Cellular Neural Network model of the Brusselator equation. The dynamics of the model is studied via describing function method. Comparison with the classical results for the famous equation is made. Key-Words:Cellular Neural Networks, Brusselator equation, describing function method
A singularly perturbed system of differential equations with degenerate matrix at the derivative is considered. The existence and construction of the periodic solutions are investigated in critical case. For the analysis of these algorithms the apparatus of Lyapunov’s finite majorizing equations is used. An implementation of this method is given in two… (More)