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- W3201024093 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 <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msub> <mrow> <mi>E</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mfenced open=( close=)> <mrow> <mn>0</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>0</mn> </mrow> </mfenced> </math> and <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <msub> <mrow> <mi>E</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mfenced open=( close=)> <mrow> <msubsup> <mrow> <mi>x</mi> </mrow> <mrow> <mn>1</mn> </mrow> <mrow> <mo>∗</mo> </mrow> </msubsup> <mo>,</mo> <mn>0</mn> <mo>,</mo> <msubsup> <mrow> <mi>x</mi> </mrow> <mrow> <mn>3</mn> </mrow> <mrow> <mo>∗</mo> </mrow> </msubsup> <mo>,</mo> <mn>0</mn> </mrow> </mfenced> </math> . It is found that the fractional order <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mi>α</mi> </math> and time delay <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi>τ</mi> </math> in the system play an important role on the system stability. Finally, numerical simulations are given to verify the analytic results." @default.
- W3201024093 created "2021-09-27" @default.
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- W3201024093 date "2021-09-11" @default.
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- W3201024093 title "Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System" @default.
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- W3201024093 doi "https://doi.org/10.1155/2021/6358530" @default.
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