Cellular neural networks: mosaic pattern and spatial chaos

Juang Jonq, Song-Sun Lin

研究成果: Article同行評審

65 引文 斯高帕斯(Scopus)

摘要

We consider a cellular neural network (CNN) with a bias term z in the integer lattice Z2 on the plane R2. We impose a symmetric coupling between nearest neighbors, and also between next-nearest neighbors. Two parameters, a and ε, are used to describe the weights between such interacting cells. We study patterns that can exist as stable equilibria. In particular, the relationship between mosaic patterns and the parameter space (z, a; ε) can be completely characterized. This, in turn, addresses the so-called learning problem in CNNs. The complexities of mosaic patterns are also addressed.

原文English
頁(從 - 到)891-915
頁數25
期刊SIAM Journal on Applied Mathematics
60
發行號3
DOIs
出版狀態Published - 1 一月 2000

指紋 深入研究「Cellular neural networks: mosaic pattern and spatial chaos」主題。共同形成了獨特的指紋。

引用此