Hopf bifurcation analysis for a two-neuron network with four delays☆
Hopf bifurcation analysis for a two-neuron network with four delays☆
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DOI：
10.1016/j.chaos.2006.03.089
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发表时间：
2007-11
影响因子：
7.8
通讯作者：
Chuangxia Huang;Lihong Huang;Jian-Qiang Feng;Mingyong Nai;Yi-gang He
中科院分区：
文献类型：
--
作者：
Chuangxia Huang;Lihong Huang;Jian-Qiang Feng;Mingyong Nai;Yi-gang He
研究了对具有两个神经元的人工神经网络进行建模的延迟微分系统。本文建立了在适当的参数值下，四时滞网络的线性稳定性和Hopf分岔，包括其方向和稳定性。获得结果的主要工具是Hassard 引入的范式方法和中心流形理论。模拟表明，理论预测值与数值观察到的行为非常一致。我们的结果扩展并补充了一些早期出版物。
A delay-differential system modelling an artificial neural network with two neurons is investigated. At appropriate parameter values, linear stability and Hopf bifurcation including its direction and stability of the network with four delays are established in this paper. The main tools to obtain our results are the normal form method and the center manifold theory introduced by Hassard. Simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior. Our results extend and complement some earlier publications.