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

Rui Zhang, Jinbin Wang, Lifeng Ma, Zine El Abiddine Fellah
2021 Advances in Mathematical Physics  
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 E 0 0 , 0 , 0 , 0 and E 1 x 1 ∗ , 0 , x 3 ∗ , 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.
doi:10.1155/2021/6358530 fatcat:3azk2453uva3tcvzc5b4ke4lfq