Anti-control of Hopf bifurcation for a chaotic system
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-04-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0354 |
| _version_ | 1797208509856612352 |
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| author | Zhang Liang Han Qin |
| author_facet | Zhang Liang Han Qin |
| author_sort | Zhang Liang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T09:39:57Z |
| format | Article |
| id | doaj.art-7ec8e58b736042109429f13d574c09ab |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-24T09:39:57Z |
| publishDate | 2024-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-7ec8e58b736042109429f13d574c09ab2024-04-15T07:42:05ZengDe GruyterNonlinear Engineering2192-80292024-04-0113134557510.1515/nleng-2022-0354Anti-control of Hopf bifurcation for a chaotic systemZhang Liang0Han Qin1School of Intelligent Manufacturing, Jianghan University, Wuhan430056, P.R. ChinaCollege of Mechanical and Electrical Engineering, Wuhan Qingchuan University, Wuhan430204, P.R. ChinaThe 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.https://doi.org/10.1515/nleng-2022-0354anti-control of hopf bifurcationchaotic systemdynamic state feedback control methodhybrid controllernonlinear dynamics |
| spellingShingle | Zhang Liang Han Qin Anti-control of Hopf bifurcation for a chaotic system Nonlinear Engineering anti-control of hopf bifurcation chaotic system dynamic state feedback control method hybrid controller nonlinear dynamics |
| title | Anti-control of Hopf bifurcation for a chaotic system |
| title_full | Anti-control of Hopf bifurcation for a chaotic system |
| title_fullStr | Anti-control of Hopf bifurcation for a chaotic system |
| title_full_unstemmed | Anti-control of Hopf bifurcation for a chaotic system |
| title_short | Anti-control of Hopf bifurcation for a chaotic system |
| title_sort | anti control of hopf bifurcation for a chaotic system |
| topic | anti-control of hopf bifurcation chaotic system dynamic state feedback control method hybrid controller nonlinear dynamics |
| url | https://doi.org/10.1515/nleng-2022-0354 |
| work_keys_str_mv | AT zhangliang anticontrolofhopfbifurcationforachaoticsystem AT hanqin anticontrolofhopfbifurcationforachaoticsystem |