| 五维时滞双向联想记忆神经网络系统的Hopf分支 |
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| 引用本文： | 王珠峰,廖茂新,邓兴颖,张露露. 五维时滞双向联想记忆神经网络系统的Hopf分支[J]. 南华大学学报(自然科学版), 2019, 33(6): 31-36 |
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| 作者姓名： | 王珠峰 廖茂新 邓兴颖 张露露 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 湖南省自然科学基金项目(13JJ3075);湖南省教育厅重点项目(17A181) |
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| 摘 要： | 研究了具有五个神经元的双时滞双向联想记忆神经网络系统,利用泛函微分方程稳定性理论和Hopf分支理论得到线性稳定的条件,同时给出存在Hopf分支的充分条件,并运用MATLAB进行数值模拟,验证理论分析的结果。
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| 关 键 词： | Hopf分支 稳定性 时滞 神经网络系统 |
| 收稿时间： | 2019-07-12 |
Hopf Bifurcation of Five-dimensional Time-delay Bidirectional Associative Memory Neural Network System |
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| WANG Zhufeng,LIAO Maoxin,DENG Xingying,ZHANG Lulu. Hopf Bifurcation of Five-dimensional Time-delay Bidirectional Associative Memory Neural Network System[J]. Journal of Nanhua University(Science and Technology), 2019, 33(6): 31-36 |
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| Authors: | WANG Zhufeng LIAO Maoxin DENG Xingying ZHANG Lulu |
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| Affiliation: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | The bidirectional associative memory neural network system with five neurons was studied.By using the stability theory of functional differential equations and the Hopf bifurcation theory,the conditions of linear stability are obtained,and the sufficient conditions for the existence of Hopf branches are given.MATLAB is used for numerical simulation to verify the results of theoretical analysis. |
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| Keywords: | Hopf bifurcation stability time delay neural network system |
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