Anti-control of Hopf bifurcation for a chaotic system-Reference-Cited by-同舟云学术

Anti-control of Hopf bifurcation for a chaotic system

Published:2024-01-01 Issue:1 Volume:13 Page:
ISSN:2192-8029
Container-title:Nonlinear Engineering
language:en
Short-container-title:

Author:

Zhang Liang¹,Han Qin²

Affiliation:

1. School of Intelligent Manufacturing, Jianghan University , Wuhan 430056 , P.R. China

2. College of Mechanical and Electrical Engineering, Wuhan Qingchuan University , Wuhan 430204 , P.R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/nleng-2022-0354/pdf

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