Stability and bifurcation of a Cohen-Grossberg neural network with discrete delays

被引：14
|
作者：
Liu, Qiming [1 ]
Xu, Rui [1 ]
机构：
[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Cohen-Grossberg neural networks; Discrete delay; Stability; Hopf bifurcation; Periodic solution; HOPF-BIFURCATION; 2-NEURON NETWORK; EXISTENCE;
D O I：
10.1016/j.amc.2011.08.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Cohen-Grossberg neural network with discrete delays is investigated in this paper. The qualitative analysis is given for the system and it is found that the system undergoes a sequence of Hopf bifurcations by choosing the discrete time delay as a bifurcation parameter. Moreover, by applying the normal form theory and the center manifold theorem, the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are obtained. Numerical simulations are given to illustrate the obtained results. (C) 2011 Elsevier Inc. All rights reserved.
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页码：2850 / 2862
页数：13
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