Delay-induced Hopf bifurcation in a noise-driven excitable neuron model

被引：4
|
作者：
Xin, Baogui [1 ,2 ]
Ma, Junhai [1 ]
Chen, Tong [1 ]
Gao, Qin [1 ]
机构：
[1] Tianjin Univ, Sch Management, Nonlinear Dynam & Chaos Grp, Tianjin 300072, Peoples R China
[2] Shandong Univ Sci & Technol, Sch Econ & Management, Ctr Appl Math, Qingdao 266510, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 15期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
FitzHugh-Nagumo model; Hopf bifurcation; normal forms; centre manifold theory; discrete delay; DIFFERENTIAL EQUATIONS; FIRING PATTERNS; BUSINESS-CYCLE; DYNAMICS; SYNCHRONIZATION;
D O I：
10.1080/00207160.2011.587876
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A FitzHugh-Nagumo neuron model with cubic nonlinearity and discrete delay is considered, in which the time delay is regarded as a parameter. The effect of time delay on the linear stability and Hopf bifurcation of the model is studied. The existence, stability and direction of the local and global Hopf bifurcation are derived. Some numerical simulations are employed to validate the main results of this work.
引用
收藏
页码：3255 / 3270
页数：16
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