一类具混合时滞的神经网络的分岔现象研究  

Inquiry of the Bifurcation Phenomenon of Neural Network with Mixed Time Delays

作　　者：李伟伟[1] 

机构地区：[1]桂林电子科技大学计算科学与数学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2009年第1期49-52,共4页Journal of Guilin University of Electronic Technology

基　　金：广西研究生科研创新项目(2008105950701M429)

摘　　要：基于一类具混合时滞的神经网络的分岔现象,考虑到时滞现象的影响,给出该神经网络系统的稳定性及Hopf分支存在的条件,利用规范形方法获得了Hopf分支方向和Hopf分支周期解的稳定性的计算公式。In light of the bifurcation phenomenon of a neural network with mixed time delays and considering the phenomenon for the time delay, we found the existence of the stability switch of this system and presented some conditions that would guarantee the stability and the existence of Hopf bifurcation. We then used the methods of normal form to obtain some formula for deciding the direction of Hopf bifurcation and the stability of bifurcation periodic solutions.

关 键 词：混合时滞 神经网络 HOPF分支 稳定性 规范形 

分 类 号：O175.12[理学—数学]