带两个相同时延神经元网络的Hopf分岔现象研究  

Study of bifurcation phenomenon for neural networks with two same delay neurons

作　　者：张洪[1] 陈天麒[1] 

机构地区：[1]电子科技大学电子工程学院,四川成都610054

出　　处：《电路与系统学报》2005年第4期47-50,共4页Journal of Circuits and Systems

摘　　要：本文讨论了两个具有相同时延神经元系统的所有平衡点处的Hopf分岔条件,应用Routh-Huriwigz判别方法,以时延作为分岔参数,证明模型经历了Hopf分岔过程。本方法对于研究时延对多个神经元网络产生的混沌行为具有指导意义。In this paper, the bifurcation phenomena of two-neuron system with the same delay are discussed. Using the delay as bifurcation parameter, we proved that model undergoes a sequence of Hopf bifurcations by Routh-Huriwigz method. Our methods have important significance for the chaotic behavior of neural networks with many neurons.

关 键 词：HOPF分岔 Routh—Huriwigz判别法 稳定性 神经元网络 

分 类 号：O175.12[理学—数学]