| 具有时滞的递归神经网络模型的分支分析 |
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| 作者单位： | ;1.河南师范大学数学与信息科学学院;2.大数据统计分析与优化控制河南省工程实验室 |
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| 摘 要： | 主要研究了一类含有6个时滞的四阶神经网络模型的分支问题.通过应用时滞微分方程的中心流形定理和规范型理论,得到了系统在原点处的Bogdanov-Takens(B-T)分支和triple zero分支的规范型,进而给出了一些主要的分支现象.
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| 关 键 词： | 神经网络模型 B-T分支 triplezero分支 规范型 |
Bifurcation Analysis in a Recurrent Neural Network Model with Delays |
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| Affiliation: | ,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,College of Mathematics and Information Science,Henan Normal University |
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| Abstract: | In this paper,we pay our main attention to study the bifurcation analysis of a four-node recurrent neural network model with six discrete delays.By using center manifold reduction and normal form method of delay differential equations,the norm forms of the Bogdanov-Takens(B-T)and triple zero bifurcations at origin are obtained.Finally,we gave some main bifurcation phenomenons. |
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| Keywords: | neural network model B-T bifurcation triple zero bifurcation normal form |
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