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一类具时滞的BAM神经网络模型的Pitchfork分支
引用本文:张明明,吕海波,张春蕊.一类具时滞的BAM神经网络模型的Pitchfork分支[J].东北林业大学学报,2007,35(2):73-75.
作者姓名:张明明  吕海波  张春蕊
作者单位:东北林业大学,哈尔滨,150040;东北林业大学,哈尔滨,150040;东北林业大学,哈尔滨,150040
摘    要:研究了一个BAM神经网络模型的分支问题,证明了直线f′1(0)g′1(0) f′2(0)g′2(0)=u2为一条Pitchfork分支曲线;并给出了分支曲线图,讨论了在由分支曲线划分的不同区域里平衡点的稳定性。

关 键 词:BAM神经网络  时滞  Pitchfork分支
修稿时间:2006-04-05

Pitchfork Bifurcation of A Bidirectional Associative Memory (BAM) Neural Network Model with Time Delay
Zhang Mingming,Lü Haibo,Zhang Chunrui.Pitchfork Bifurcation of A Bidirectional Associative Memory (BAM) Neural Network Model with Time Delay[J].Journal of Northeast Forestry University,2007,35(2):73-75.
Authors:Zhang Mingming  Lü Haibo  Zhang Chunrui
Institution:Department of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China
Abstract:The bifurcation of a BAM neural network model with time delay is studied.It is proved that f'1(0)g'1(0) f'2(0)g'2(0)=u2 is a pitchfork bifurcation curve.Moreover,the pitchfork bifurcation curve is given,and the stability of equilibrium points is discussed in terms of different domains partitioned by the bifurcation curve.
Keywords:BAM neural network  Delay  Pitchfork bifurcation
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