| 具分布时滞的周期运动细胞神经网络周期解的存在性(英文) |
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| 引用本文： | 张红丽,陈芳启.具分布时滞的周期运动细胞神经网络周期解的存在性(英文)[J].工程数学学报,2010,27(6). |
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| 作者姓名： | 张红丽 陈芳启 |
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| 作者单位： | 1. 南京航空航天大学理学院,南京,210016
2. 南京航空航天大学理学院,南京,210016;天津市非线性动力与混沌控制重点实验室,天津,300072 |
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| 基金项目： | The National Natural Science Foundation of China(10972099); the Natural Science Foundation of Tianjin(09JCZDJC26800) |
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| 摘 要： | 运用Mawhin连续性定理研究具分布时滞的周期运动细胞神经网络周期解的存在性,假设行为函数位于一带型区域内,激活函数位于两线性函数所夹的区域内。
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| 关 键 词： | 周期运动细胞神经网络 周期解 迭合度 |
Existence of Periodic Solutions for Recurrent Cellular Neural Networks with Distributed Delays |
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| ZHANG Hong-li,CHEN Fang-qi.Existence of Periodic Solutions for Recurrent Cellular Neural Networks with Distributed Delays[J].Chinese Journal of Engineering Mathematics,2010,27(6). |
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| Authors: | ZHANG Hong-li CHEN Fang-qi |
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| Affiliation: | ZHANG Hong-li1,CHEN Fang-qi1,2(1-College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,2-Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,Tianjin 300072) |
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| Abstract: | By means of the Mawhin continuation theorem,the existence of periodic solutions for recurrent neural networks is studied.We assume that the behaved function is located in a strip region,and the activation function is in a region between two linear functions. |
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| Keywords: | recurrent cellular neural networks periodic solution coincidence degree |
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