IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v36y2008i3p715-719.html

A study of singularities for magnetic bearing systems with time delays

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906007065
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.06.087?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    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 & 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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).
    3. Mursaleen, M. & Mohiuddine, S.A., 2009. "Nonlinear operators between intuitionistic fuzzy normed spaces and Fréchet derivative," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1010-1015.
    4. Li, Tzuu-Hseng S. & Kuo, Chao-Lin & Guo, Nai Ren, 2007. "Design of an EP-based fuzzy sliding-mode control for a magnetic ball suspension system," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1523-1531.
    5. El Naschie, M.S., 2008. "Deriving the largest expected number of elementary particles in the standard model from the maximal compact subgroup H of the exceptional Lie group E7(-5)," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 956-961.
    6. El Naschie, M.S., 2007. "Determining the number of Fermions and the number of Boson separately in an extended standard model," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1241-1243.
    7. El Naschie, M.S., 2007. "A derivation of the electromagnetic coupling α0≃137.036," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 521-526.
    8. Mursaleen, M. & Mohiuddine, S.A., 2009. "On stability of a cubic functional equation in intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2997-3005.
    9. Zhou, Jianfeng & Song, Deyao, 2009. "The properties of a class of biorthogonal vector-valued nonseparable bivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2226-2233.
    10. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
    11. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    12. Chen, Ning & Li, Zichuan & Jin, Yuanyuan, 2009. "Visual presentation of dynamic systems with hyperbolic planar symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 621-634.
    13. Amer, Y.A. & Hegazy, U.H., 2007. "Resonance behavior of a rotor-active magnetic bearing with time-varying stiffness," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1328-1345.
    14. El-Okaby, Ayman A., 2008. "The exceptional E-infinity theory holographic boundary, F-theory and the number of particles in the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1286-1291.
    15. Yilmaz, Yilmaz, 2009. "Fréchet differentiation of nonlinear operators between fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 473-484.
    16. Marek-Crnjac, L., 2007. "The maximum number of elementary particles in a super symmetric extension of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1631-1636.
    17. Gurkan, Zeynep Nilhan & Pashaev, Oktay, 2008. "Integrable vortex dynamics in anisotropic planar spin liquid model," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 238-253.
    18. El Naschie, M.S., 2007. "The Fibonacci code behind super strings and P-Branes. An answer to M. Kaku’s fundamental question," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 537-547.
    19. Marek-Crnjac, L., 2007. "Fuzzy Kähler manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 677-681.
    20. El Naschie, M.S., 2007. "Rigorous derivation of the inverse electromagnetic fine structure constant α¯=1/137.036 using super string theory and the holographic boundary of E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 893-895.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:715-719. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.