| 多时滞环状神经网络的稳定性 |
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| 引用本文： | 邹劭芬,黄立宏.多时滞环状神经网络的稳定性[J].应用数学学报,2007,30(4):707-718. |
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| 作者姓名： | 邹劭芬 黄立宏 |
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| 作者单位： | 湖南大学数学与计量经济学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 本文针对—个带自反馈的多时滞环状神经网络系统,给出了系统平凡解稳定与不稳定的条件,讨论了平凡解对应特征方程在不同参数条件下的正实部根的个数以及正实部根个数随参数变动的变化规律.
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| 关 键 词： | 神经网络 时滞微分方程 线性稳定性 正实部根个数 |
| 修稿时间： | 2007-03-01 |
Stability of a Ring Neural Network with Delays |
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| ZOU SHAOFEN,HUANG LIHONG.Stability of a Ring Neural Network with Delays[J].Acta Mathematicae Applicatae Sinica,2007,30(4):707-718. |
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| Authors: | ZOU SHAOFEN HUANG LIHONG |
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| Institution: | 1,College of Mathematics and Econometrics, Hunan University, Changsha 410082;2,College of Mathematics and Econometrics, Hunan University, Changsha 410082 |
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| Abstract: | A system of ring neural network with self-feedback and multiple delays is con- sidered.Conditions for the stability and unstability of the trivial solution of this system are represented in a parameter space.Under different conditions of parameters,we investigate that the number of eigenvalues with positive real part of the characteristic equation of the trivial solution and how the number changes. |
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| Keywords: | neural network delay differential equation linear stability the number of eigenvalues with real part |
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