| 时滞BAM神经网络模型的稳定性分析 |
| |
| 引用本文： | 张明明,张春蕊.时滞BAM神经网络模型的稳定性分析[J].生物数学学报,2008,23(2). |
| |
| 作者姓名： | 张明明 张春蕊 |
| |
| 作者单位： | 1. 哈尔滨医科大学,生物信息科学与技术学院,黑龙江,哈尔滨,150081
2. 东北林业大学,数学系,黑龙江,哈尔滨,150040 |
| |
| 摘 要： | 本文研究了一个含有n+1个神经元的多时滞BAM型神经网络模型.利用儒歇定理及其推论分析了该动力特征方程根的分布情况,进而得到动力系统稳定和Hopf分支存在的条件,画出了分支图.研究了该动力系统的Pitchfork分支,得到了Pitchfork分支曲线,讨论了在分支曲线的不同区域里平衡点的稳定性.
|
| 关 键 词： | BAM神经网络 时滞 稳定性 Hopf分支 Pitchfork分支 |
Stability Analysis on BAM Neural Network Model with Multi-Delays and Continuous Vaccination |
| |
| ZHANG Ming-ming,ZHANG Chun-rui.Stability Analysis on BAM Neural Network Model with Multi-Delays and Continuous Vaccination[J].Journal of Biomathematics,2008,23(2). |
| |
| Authors: | ZHANG Ming-ming ZHANG Chun-rui |
| |
| Institution: | ZHANG Ming-ming1 ZHANG Chun-rui2 (1 College of Bioinformatics Science and Technology; Harbin Medicine University; Harbin Heilongjiang 150081 China) (2 Department of Mathematics; Northeast Forestry University; Harbin Heilongjiang 150040 China); |
| |
| Abstract: | In this paper,a delay-differential equation modeling a bidirectional associative memory(BAM)neural network with neurons is investigated.By analyzing the distribution of the roots of the characteristic equation according to Rouche theorem,the stability is investigated and Hopf bifurcations are demonstrated.So the stability condition of a n+1-dimension bidirectional associative memory(BAM)can be obtained.A bifurcation curve is given.Beside,the pitchfork bifurcation of BAM neural network is discussed.The pitch... |
| |
| Keywords: | BAM neural network Delay Stability Hopf bifurcation Pitchfork bifurcation |
| 本文献已被 维普 万方数据 等数据库收录！ |
