Doklady Physics

, Volume 52, Issue 11, pp 600–606 | Cite as

Bimodal bifurcations of equilibria in symmetric potential systems

Mechanics

PACS numbers

02.30.Oz 45.50.Dd 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. Augusti, Atti Accad. Sci. Fis. Mat. Napoli, Ser. 3A 4(5) (1964).Google Scholar
  2. 2.
    W. T. Koiter, Proc. Kingdom Ned. Acad. Wet. Series 72, 40 (1969).Google Scholar
  3. 3.
    L. Bauer, H. B. Keller, and E. L. Reiss, SIAM Rev 17, 101 (1975).CrossRefMathSciNetGoogle Scholar
  4. 4.
    J. M. T. Thompson and G. W. Hunt, A General Theory of Elastic Stability (Wiley, London, 1973).MATHGoogle Scholar
  5. 5.
    W. J. Supple, Int. J. Mech. Sci. 9, 97 (1967).MATHCrossRefGoogle Scholar
  6. 6.
    W. J. Supple, in Structural Instability, Ed. by W. J. Supple (IPC Sci. Technol. Press, Guidford, 1973), pp. 28–53.Google Scholar
  7. 7.
    M. Golubitsky and D. Schaeffer, Singularities and Groups in Bifurcation Theory (Springer, New York, 1985).MATHGoogle Scholar
  8. 8.
    É. I. Grigolyuk and V. I. Shalashilin, Problems of Nonlinear Deformation (Nauka, Moscow, 1988) [in Russian].Google Scholar
  9. 9.
    N. Olhoff and S. H. Rasmussen, Int. J. Solids Struct. 13, 605 (1977).MATHCrossRefGoogle Scholar
  10. 10.
    S. Prager and W. Prager, Int. J. Mech. Sci. 21, 249 (1979).CrossRefGoogle Scholar
  11. 11.
    A. P. Seyranian, E. Lund, and N. Olhoff, Struct. Optim. 8, 207 (1994).CrossRefGoogle Scholar
  12. 12.
    A. P. Seĭranyan, Usp. Mekh. 2(2), 45 (2003).Google Scholar
  13. 13.
    A. P. Seyranian and A. A. Mailybaev, Multiparameter Stability Theory with Mechanical Applications (World Sci, New Jersey, 2003).MATHGoogle Scholar
  14. 14.
    V. I. Arnold, Mathematical Methods of Classical Mechanics (Nauka, Moscow, 1989; Springer, New York, 1989).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Institute of MechanicsMoscow State UniversityMoscowRussia

Personalised recommendations