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A study of singularities for magnetic bearing systems with time delays

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  • Jiang, Weihua
  • Wang, Hongbin
  • Wei, Junjie

Abstract

We investigate a class of magnetic bearing systems with a time delay. We study the eigenvalue problem for the linearized system at the trivial equilibrium. For a critical case when the characteristic equation has a single zero root and a pair of purely imaginary roots, we present a complete bifurcation analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:715-719
    DOI: 10.1016/j.chaos.2006.06.087
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
    2. 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.
    3. 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. 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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