Amplitude control of limit cycle in a van der Pol Duffing system

被引：0

作者：

欧阳克俭 ^{[1
]}

唐驾时 ^{[2
]}

梁翠香 ^{[2
]}

机构：

[1] College of Civil Engineering,Hunan University

[2] College of Mechanics and Aerospace,Hunan University

来源：

Chinese Physics B | 2009年 / 11期

基金：

中国国家自然科学基金;

关键词：

bifurcation control; limit cycle; Hopf bifurcation; van der Pol–Duffing system;

D O I：

暂无

中图分类号：

N93 [非线性科学];

学科分类号：

07 ;

摘要：

This paper applies washout filter technology to amplitude control of limit cycles emerging from Hopf bifurcation of the van der Pol–Duffing system.The controlling parameters for the appearance of Hopf bifurcation are given by the Routh–Hurwitz criteria.Noticeably,numerical simulation indicates that the controllers control the amplitude of limit cycles not only of the weakly nonlinear van der Pol–Duffing system but also of the strongly nonlinear van der Pol–Duffing system.In particular,the emergence of Hopf bifurcation can be controlled by a suitable choice of controlling parameters.Gain-amplitude curves of controlled systems are also drawn.

引用

页码：4748 / 4753

页数：6

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