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Structure of a class of traveling waves in delayed cellular neural networks. (English) Zbl 1085.34049
This paper is dealing with the structure of a certain class of traveling wave solutions of delayed cellular neural networks distributed in a one-dimensional integer lattice Z. In addition to the existence of monotone traveling wave solutions, the authors also find that for certain parameters, there exist nonmonotone traveling wave solutions such as camel-like waves with many critical points.

MSC:
34K10Boundary value problems for functional-differential equations
34K28Numerical approximation of solutions of functional-differential equations
92B20General theory of neural networks (mathematical biology)
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