具有时滞的递归神经网络模型的分支分析

Bifurcation Analysis in a Recurrent Neural Network Model with Delays

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.

In this paper, we pay our main attention to study the bifurcation analysis of a four-node recurrent neural net- work model with six discrete delays. By using center manifold reduction and normal form method of delay differential equa- tions, the norm forms of the Bogdanov-Takens （B-T） and triple zero bifurcations at origin are obtained. Finally, we gave some main bifurcation phenomenons.