Existence of traveling wave solutions in nonlinear delayed cellular neural networks

摘要

This paper is concerned with the existence of traveling wave solutions of cellular neural network systems distributed in the one-dimensional lattice Z. The dynamics of each given cell depends on itself and its nearest right neighbor cell where delays exist in self-feedback and neighborhood interaction. Under appropriate assumptions, we can prove the existence of traveling wave solutions whose Output function is not piecewise linear. (c) 2007 Elsevier Ltd. All rights reserved.