Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos

被引：4

作者：

Juang, J

Shieh, SF

Turyn, L

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

[2] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 08期

关键词：

cellular neural networks; space-dependent template; spatial chaos;

D O I：

10.1142/S0218127402005510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice Z(2) on the plane Z(2). We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on Z(2). Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p(1), p(2))-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.

引用

页码：1717 / 1730

页数：14

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