Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System
This work is focused on a rolling mill’s main drive electromechanical coupling system. Firstly, we equip electromechanical coupling system with fractional-order time delay. Secondly, we, respectively, derive the conditions for occurrence of Hopf bifurcation around equilibriums E00,0,0,0 and E1x1∗,0,...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6358530 |
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| _version_ | 1850110268445556736 |
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| author | Rui Zhang Jinbin Wang Lifeng Ma |
| author_facet | Rui Zhang Jinbin Wang Lifeng Ma |
| author_sort | Rui Zhang |
| collection | DOAJ |
| description | This work is focused on a rolling mill’s main drive electromechanical coupling system. Firstly, we equip electromechanical coupling system with fractional-order time delay. Secondly, we, respectively, derive the conditions for occurrence of Hopf bifurcation around equilibriums E00,0,0,0 and E1x1∗,0,x3∗,0. It is found that the fractional order α and time delay τ in the system play an important role on the system stability. Finally, numerical simulations are given to verify the analytic results. |
| format | Article |
| id | doaj-art-4585a2c0733f421d8cc3eaaad88a91c7 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4585a2c0733f421d8cc3eaaad88a91c72025-08-20T02:37:52ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/63585306358530Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling SystemRui Zhang0Jinbin Wang1Lifeng Ma2School of Applied Science, Taiyuan University of Science and Technology, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, ChinaSchool of Mechanical Engineering, Taiyuan University of Science and Technology, ChinaThis work is focused on a rolling mill’s main drive electromechanical coupling system. Firstly, we equip electromechanical coupling system with fractional-order time delay. Secondly, we, respectively, derive the conditions for occurrence of Hopf bifurcation around equilibriums E00,0,0,0 and E1x1∗,0,x3∗,0. It is found that the fractional order α and time delay τ in the system play an important role on the system stability. Finally, numerical simulations are given to verify the analytic results.http://dx.doi.org/10.1155/2021/6358530 |
| spellingShingle | Rui Zhang Jinbin Wang Lifeng Ma Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System Advances in Mathematical Physics |
| title | Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System |
| title_full | Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System |
| title_fullStr | Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System |
| title_full_unstemmed | Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System |
| title_short | Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System |
| title_sort | bifurcation analysis of a fractional order delayed rolling mill s main drive electromechanical coupling system |
| url | http://dx.doi.org/10.1155/2021/6358530 |
| work_keys_str_mv | AT ruizhang bifurcationanalysisofafractionalorderdelayedrollingmillsmaindriveelectromechanicalcouplingsystem AT jinbinwang bifurcationanalysisofafractionalorderdelayedrollingmillsmaindriveelectromechanicalcouplingsystem AT lifengma bifurcationanalysisofafractionalorderdelayedrollingmillsmaindriveelectromechanicalcouplingsystem |