標題: Cellular neural networks: Mosaic pattern and spatial chaos
作者: Juang, J
Lin, SS
應用數學系
Department of Applied Mathematics
關鍵字: cellular neural networks;pattern formation;spatial chaos
公開日期: 21-三月-2000
摘要: We consider a cellular neural network (CNN) with a bias term z in the integer lattice Z(2) on the plane R-2. We impose a symmetric coupling between nearest neighbors, and also between next-nearest neighbors. Two parameters, a and epsilon, 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; epsilon) can be completely characterized. This, in turn, addresses the so-called learning problem in CNNs. The complexities of mosaic patterns are also addressed.
URI: http://hdl.handle.net/11536/30645
ISSN: 0036-1399
期刊: SIAM JOURNAL ON APPLIED MATHEMATICS
Volume: 60
Issue: 3
起始頁: 891
結束頁: 915
顯示於類別:期刊論文