Hopf bifurcation control for a coupled nonlinear relative rotation system with time-delay feedbacks

被引：1

作者：

刘爽 ^{[1
,2
]}

李雪 ^{[1
]}

谈书贤 ^{[1
]}

李海滨 ^{[1
]}

机构：

[1] Key Laboratory of Industrial Computer Control Engineering of Hebei Province, Yanshan University

[2] National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Yanshan University

来源：

Chinese Physics B | 2014年 / 10期

基金：

中国国家自然科学基金;

关键词：

relative rotation; coupled nonlinear system; bifurcation; time delay;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper investigates the Hopf bifurcations resulting from time delay in a coupled relative-rotation system with timedelay feedbacks. Firstly, considering external excitation, the dynamical equation of relative rotation nonlinear dynamical system with primary resonance and 1:1 internal resonance under time-delay feedbacks is deduced. Secondly, the averaging equation is obtained by the multiple scales method. The periodic solution in a closed form is presented by a perturbation approach. At last, numerical simulations confirm that time-delay theoretical analyses have influence on the Hopf bifurcation point and the stability of periodic solution.

引用

页码：303 / 309

页数：7

共 13 条

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