二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)

曹建智; 蒋海军

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二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)

数理科学 | 更新时间：2026-01-21

- 二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)
- 二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)
- 新疆大学学报（自然科学版中英文） 2011年28卷第3期页码：289-298
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  supported by the National Natural Science Foundation of P.R.China(60764003);the Natural Science Foundation of Xinjiang(2010211A07);the Scientific Research Programmes of Colleges in Xinjiang(XJEDU2007G01)
- DOI：
  中图分类号： O175.13
- 纸质出版：2011
- 稿件说明：
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[1]曹建智,蒋海军.二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)[J].新疆大学学报(自然科学版),2011,28(03):289-298.

曹建智, 蒋海军. 二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(3): 289-298.
[1]曹建智,蒋海军.二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)[J].新疆大学学报(自然科学版),2011,28(03):289-298. DOI：

曹建智, 蒋海军. 二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(3): 289-298. DOI：

摘要

考虑了一个二元离散和分布时滞的BAM-型Cohen-Grossberg神经网络

其中分布时滞的核函数分别为Direc函数和强核函数

研究了它的局部稳定性和Hopf分支

最后通过一个数值例子来证明结论的正确性.

Abstract

In this paper

a two-neuron bidirectional associative memory(BAM)-type Cohen-Grossberg neural network with discrete and distributed delays is considered

where kernel is chosen as Dirac delta function and strong kernel

respectively.Its dynamics are studied in terms of local stability analysis and Hopf bifurcation analysis.In order to illustrate our theoretical analysis

some numerical simulations are included in the end.

关键词

Keywords

references

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