Hybrid control of bifurcation in continuous nonlinear dynamical systems

被引：25
|
作者：
Liu, ZR
Chung, KW
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Shanghai Univ, Ctr Nonlinear Sci, Shanghai 200436, Peoples R China
[3] Shanghai Jiao Tong Univ, Aetna Sch Management, Shanghai 200052, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 12期
基金：
中国国家自然科学基金;
关键词：
hybrid control; Hopf bifurcation; Poincare bifurcation; chaos;
D O I：
10.1142/S0218127405014374
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new hybrid control strategy is proposed, in which state feedback and parameter perturbation are used to control the bifurcations of continuous dynamical systems. The hybrid control can be applied to any component of a several dimensional dynamical system and is still effective even when the system becomes chaotic. Our results show, that various bifurcations, such as Hopf bifurcation and Poincare bifurcation, can be controlled by means of this method.
引用
收藏
页码：3895 / 3903
页数：9
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