Existence of traveling wave solutions in nonlinear delayed cellular neural networks

被引：14

作者：

Liu, Xiuxiang ^{[1
]}

Weng, Peixuan ^{[1
]}

Xu, Zhiting ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 01期

关键词：

cellular neural networks; lattice dynamical system; traveling wave solutions; monotone iteration;

D O I：

10.1016/j.nonrwa.2007.09.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of traveling wave solutions of cellular neural network systems distributed in the one-dimensional lattice Z. The dynamics of each given cell depends on itself and its nearest right neighbor cell where delays exist in self-feedback and neighborhood interaction. Under appropriate assumptions, we can prove the existence of traveling wave solutions whose Output function is not piecewise linear. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：277 / 286

页数：10

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