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具时滞的非线性CNN系统的行波解
Traveling waves in delayed and nonlinear Cellular Neural Networks
【摘要】 研究一维离散的神经网络细胞模型,其输出函数是非线性的且其信息反馈具时滞,通过构造方程的上、下解,采用单调迭代准则得到当系统的波速c满足一定条件时存在单调行波解.
【Abstract】 A lattice model of celluar neural networks(CY-CNN)on one-dimensional space,whose output function is nonlinear and information feedback is delayed,is considered in this paper.It is shown that the system exist monotone traveling wave solutions by using monotone iteration with upper and lower solutions provided wave speed satisfies some conditions.
【关键词】 CNN;
行波解;
时滞;
非线性;
单调迭代;
【Key words】 Cellular Neural Networks; traveling waves; delay,nonlinear; monotone iteration.;
【Key words】 Cellular Neural Networks; traveling waves; delay,nonlinear; monotone iteration.;
- 【文献出处】 广州大学学报(自然科学版) ,Journal of Guangzhou University(Natural Science Edition) , 编辑部邮箱 ,2006年05期
- 【分类号】O175
- 【下载频次】24