類神經網路的花式

Abstract

此篇論文的主題是含有二次項的類神經網路系統，我們探討了各種花色生成的可能性及其組成的複雜度。

In this paper, we study a cellular neural network(CNN) with a quadratic term ?x^2 in the integer lattice Z^2 on the plane R^2. We impose a symmetric coupling between nearest neighbors and use two parameters to describe the weight between such interacting cells. The existence and stability of mosaic patterns are been proved. We also investigate the relationship between mosaic patterns and the parameter space.