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Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System

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  • Rui Zhang
  • Jinbin Wang
  • Lifeng Ma

Abstract

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 and . It is found that the fractional order and time delay in the system play an important role on the system stability. Finally, numerical simulations are given to verify the analytic results.

Suggested Citation

  • Rui Zhang & Jinbin Wang & Lifeng Ma, 2021. "Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-10, September.
    • Handle: RePEc:hin:jnlamp:6358530
    DOI: 10.1155/2021/6358530
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