Hopf Bifurcation of Rayleigh Model with Delay

被引：0
|
作者：
Sun, Yan [1 ]
Ma, Wenlian [1 ]
机构：
[1] Changchun Univ Sci & Technol, Coll Sci, Changchun, JiLin, Peoples R China
来源：
INFORMATION COMPUTING AND APPLICATIONS, ICICA 2013, PT I | 2013年 / 391卷
关键词：
delay; Rayleigh model; Hopf bifurcation; stability;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Hopf bifurcation and stability of Rayleigh model with delay r as parameter have been studied. Analyzing the stability of zero solution, the branch value of Hopf bifurcation has been obtained. Secondly, using theories of normal form and center manifold acquire the calculation formula of the direction of the bifurcation and the stability of the periodic solution. Finally, some numerical simulations are carried out by using MATLAB software, and the results are consistent with analysis results.
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页码：593 / 602
页数：10
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