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Dynamic analysis and experimental verification of the fractional-order Duffing-Van der pol model in the control of horizontal vibration of rolling mills

Crossref DOI link: https://doi.org/10.1007/s11071-025-12003-4

Published Online: 2026-01-21

Published Print: 2026-01

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Xie, Jiaquan

Shi, Haoming

Zhang, Jiale

Shi, Wei

Liu, Yuanming

Zheng, Yongjiang

Shen, Guangxian
Funding

Funding for this research was provided by:

Basic Research Program of Shanxi Province (202403021221189)

Opening Foundation of Shanxi Key Laboratory of Intelligent Optimization Computing and Blockchain Technology (IOCBT2025ZZY02)

National Natural Science Foundation of China (52005360)

Science and Technology Department of Shanxi Province (202203021221148)
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Article History

Received: 4 August 2025

Revised: 30 September 2025

Accepted: 16 October 2025

First Online: 21 January 2026

Declarations

:

: The authors declare no competing interests.

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