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Multiple stabilities analysis in a magnetic bearing system with time delays

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  • Wang, Hongbin
  • Jiang, Weihua

Abstract

A kind of magnetic bearing system with time delay is considered. Firstly, multiple stabilities of the model is investigated. According to the analysis results, the bifurcation diagram is drawn in the appropriate parameter plane. Then the center manifold reduction and normal form computation for simple zero singularity are performed and detailed bifurcation analysis are carried out. Finally, some numerical simulations are presented to illustrate the results found.

Suggested Citation

  • Wang, Hongbin & Jiang, Weihua, 2006. "Multiple stabilities analysis in a magnetic bearing system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 789-799.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:3:p:789-799
    DOI: 10.1016/j.chaos.2005.04.052
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    References listed on IDEAS

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    1. Zhang, Chunrui & Zheng, Baodong, 2005. "Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 129-146.
    2. Wang, Hongbin & Liu, Jiaqi, 2005. "Stability and bifurcation analysis in a magnetic bearing system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 813-825.
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    Cited by:

    1. Jiang, Weihua & Wang, Hongbin & Wei, Junjie, 2008. "A study of singularities for magnetic bearing systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 715-719.
    2. Inayat-Hussain, Jawaid I., 2009. "Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2664-2671.
    3. Soni, Tukesh & Dutt, Jayanta K. & Das, A.S., 2021. "Dynamic behavior and stability of energy efficient electro-magnetic suspension of rotors involving time delay," Energy, Elsevier, vol. 231(C).

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