一类具有Leakage时滞的分数阶神经网络的Hopf分支(英文)  

Bifurcation Analysis of Fractional-order Neural Network with Time Delays in Leakage Terms

作　　者：田晓红[1] 徐瑞[1] 

机构地区：[1]军械工程学院应用数学研究所,河北石家庄050003

出　　处：《应用数学》2017年第2期350-358,共9页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11371368,11071254,61305076);the Natural Science Foundation of Hebei Province of China(A2014506015)

摘　　要：本文研究一类具有leakage时滞的分数阶神经网络.通过分析特征方程,讨论系统平凡稳态解的局部稳定性和Hopf分支的存在性.最后对所得理论结果进行了数值模拟.In this paper, a fractional-order neural network with time delays in leakage terms is investigated. By analyzing the corresponding characteristic equation, the local stability of the trivial steady state and the existence of Hopf bifurcation are established.Numerical simulations are carried out to illustrate the main results.

关 键 词：分数阶神经网络 HOPF分支 Leakage时滞 

分 类 号：O175[理学—数学]