| 具时滞的非线性CNN系统的行波解 |
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| 引用本文： | 凌娇秀.具时滞的非线性CNN系统的行波解[J].广州大学学报(自然科学版),2006,5(5):10-14. |
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| 作者姓名： | 凌娇秀 |
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| 作者单位： | 广州大学,数学与信息科学学院,广东,广州,510006 |
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| 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.
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| 关 键 词： | CNN 行波解 时滞 非线性 单调迭代 |
| 文章编号： | 1671-4229(2006)05-0010-05 |
| 收稿时间： | 2006-02-21 |
| 修稿时间： | 2006-05-16 |
Traveling waves in delayed and nonlinear Cellular Neural Networks |
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| LING Jiao-xiu.Traveling waves in delayed and nonlinear Cellular Neural Networks[J].Journal og Guangzhou University:Natural Science Edition,2006,5(5):10-14. |
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| Authors: | LING Jiao-xiu |
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| Institution: | School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China |
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| 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. |
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| Keywords: | Cellular Neural Networks traveling waves delay nonlinear monotone iteration |
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