Anti-control of Hopf bifurcation for a chaotic system

被引：0
|
作者：
Zhang, Liang [1 ]
Han, Qin [2 ]
机构：
[1] Jianghan Univ, Sch Intelligent Mfg, Wuhan 430056, Peoples R China
[2] Wuhan Qingchuan Univ, Coll Mech & Elect Engn, Wuhan 430204, Peoples R China
来源：
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2024年 / 13卷 / 01期
关键词：
anti-control of Hopf bifurcation; chaotic system; dynamic state feedback control method; hybrid controller; nonlinear dynamics; DYNAMICS;
D O I：
10.1515/nleng-2022-0354
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The anti-control of Hopf bifurcation is a method used for bifurcation control. It can be used to realize the occurrence or delay of bifurcation at the specified position to meet the needs of engineering applications. In this study, a 4D chaotic system is studied, and a dynamic state feedback control method is proposed to realize the anti-control of Hopf bifurcation for the system. By adjusting the control parameters of the controller, the system Hopf bifurcation can be generated or delayed at the specified position to realize the anti-control of Hopf bifurcation. This control method avoids complicated calculation processes and has remarkable control effects. Through numerical simulation analysis, the correctness of this control method is verified.
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页数：7
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