"2003 Colloquium on Differential Equations and Applications, Maracaibo, Venezuela. Electronic Journal of Differential Equations, Conference 13, 2005, pp. 1-11. Title: Controllability, applications, and numerical simulations of cellular neural networks Authors: Wadie Aziz (Univ. de los Andes, Trujillo, Venezuela) Teodoro Lara (Univ. de los Andes, Trujillo, Venezuela) Abstract: In this work we consider the model of cellular neural network (CNN) introduced by Chua and Yang in 1988. We impose the Von-Neumann boundary conditions and study the controllability of corresponding system, then these results are used in image detection by means of numerical simulations. Published May 30, 2005. Math Subject Classifications: 37N25, 34K20, 68T05. Key Words: Cellular Neural Networks; circulant matrix; tridiagonal matrix; Controllability.