| EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF DELAYED BAM NEURAL NETWORKS WITH PERIODIC COEFFICIENTS |
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| 引用本文： | Wang Xiaoping (Dept. of Math.,Xiangnan University,Chenzhou 423000) Huang Lihong (College of Math,and Econometrics,Hunan University,Changsha 410082). EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF DELAYED BAM NEURAL NETWORKS WITH PERIODIC COEFFICIENTS[J]. Annals of Differential Equations, 2005, 21(1): 39-51 |
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| 作者姓名： | Wang Xiaoping (Dept. of Math. Xiangnan University Chenzhou 423000) Huang Lihong (College of Math and Econometrics Hunan University Changsha 410082) |
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| 作者单位： | Wang Xiaoping (Dept. of Math.，Xiangnan University，Chenzhou 423000) Huang Lihong (College of Math，and Econometrics，Hunan University，Changsha 410082) |
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| 基金项目： | Supported by the NNSF of China (10371034)Foundation for University Key Teacher by the Ministry of Education of China and also by the Foundation of professor project of Chenzhou Teachers College. |
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| 摘 要： | In this paper, we study the BAM neural networks with variable coefficients and delays. By using the Banach fixed point theorem and constructing suitable Lyapunov function, we obtain some sufficient conditions ensuring the existence, uniqueness and global stability of periodic solution. These results are helpful to design global exponential stable BAM networks and periodic oscillatory BAM networks.
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| 关 键 词： | 存在性 周期解 全局展开式 变量系数 BAM人工神经网络 时滞微分方程 |
EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF DELAYED BAM NEURAL NETWORKS WITH PERIODIC COEFFICIENTS |
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| WangXiaoping HuangLihong. EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF DELAYED BAM NEURAL NETWORKS WITH PERIODIC COEFFICIENTS[J]. 微分方程年刊(英文版), 2005, 21(1): 39-51 |
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| Authors: | WangXiaoping HuangLihong |
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| Affiliation: | [1]Dept.ofMath.,XiangnanUniversity,Chenzhou428000 [2]CollegeofMath.andEconometrics,HunanUniversity,Changsha410082 |
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| Abstract: | In this paper, we study the BAM neural networks with variable coefficients and delays. By using the Banach fixed point theorem and constructing suitable Lyapunov function, we obtain some sufficient conditions ensuring the existence, uniqueness and global stability of periodic solution. These results are helpful to design global exponential stable BAM networks and periodic oscillatory BAM networks. |
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| Keywords: | variable coefficient periodic solution global exponential stable BAM neural networks |
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