TRAVELING WAVES IN CELLULAR NEURAL NETWORKS

Cheng-Hsiung Hsu, Song-Sun Lin, Wenxian Shen · International Journal of Bifurcation and Chaos · 1999

In this paper, we study the structure of traveling wave solutions of Cellular Neural Networks of the advanced type. We show the existence of monotone traveling wave, oscillating wave and eventually periodic wave solutions by using shooting method and comparison principle. In addition, we obtain the existence of periodic wave train solutions.

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