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

作　　者：欧阳克俭 唐驾时 梁翠香 

机构地区：[1]College of Civil Engineering,Hunan University [2]College of Mechanics and Aerospace,Hunan University

出　　处：《Chinese Physics B》2009年第11期4748-4753,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 10672053)

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.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.

关 键 词：bifurcation control limit cycle Hopf bifurcation van der Pol-Duffing system 

分 类 号：N93[自然科学总论]