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Dynamical behavior and Poincare section of fractional-order centrifugal governor system

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  • Alidousti, J.
  • Eskandari, Z.

Abstract

The dynamic behavior of a fractional governor system is studied in this paper. The Stability and bifurcation of the equilibrium points of the system are investigated. We derive specific conditions for which the Hopf bifurcation of the fractional governor system may occur. It can be seen that different results are obtained compared to the classical mode. In the non-autonomous system, the tendency towards chaos is investigated using diagrams of bifurcation and Poincare maps analysis. Finally, the numerical results are given to illustrate the theoretical results. Analytical and numerical simulations result could be extended to other systems and ultimately, these results could be applied as a technical tool for the control and rotary machine designers.

Suggested Citation

  • Alidousti, J. & Eskandari, Z., 2021. "Dynamical behavior and Poincare section of fractional-order centrifugal governor system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 791-806.
    • Handle: RePEc:eee:matcom:v:182:y:2021:i:c:p:791-806
    DOI: 10.1016/j.matcom.2020.12.006
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Lee, Ching-I, 2005. "Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1855-1864.
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    Cited by:

    1. Xie, Jiaquan & Zhao, Fuqiang & He, Dongping & Shi, Wei, 2022. "Bifurcation and resonance of fractional cubic nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Yang, Yanling & Wang, Qiubao, 2023. "Capture of stochastic P-bifurcation in a delayed mechanical centrifugal governor," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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