Mathematical Notes

, Volume 79, Issue 5–6, pp 734–740 | Cite as

On a nonholonomic dynamical problem

  • A. V. Borisov
  • A. A. Kilin
  • I. S. Mamaev
Article

Key words

nonholonomic dynamics rolling motion without slipping nonholonomic constraints quasiperiodic oscillations 

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References

  1. 1.
    A. V. Karapetyan, Stability of Stationary Motions [in Russian], URSS, Moscow, 1998.Google Scholar
  2. 2.
    A. P. Markeev, Prikl. Mat. Mekh. [J. Appl. Math. Mech.], 47 (1983), no. 4, 575–582.MATHMathSciNetGoogle Scholar
  3. 3.
    A. V. Borisov and I. S. Mamaev, Regular and Chaotic Dynamics, 7 (2002), no. 1, 177–200.MATHMathSciNetCrossRefGoogle Scholar
  4. 4.
    A. V. Borisov, I. S. Mamaev, and A. A. Kilin, Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.], 385 (2002), no. 3, 1–4.Google Scholar
  5. 5.
    E. Routh, Dynamics of a System of Rigid Bodies, V. II, 7th ed., Dover, New York, 1960; Russian translation: Mir, Moscow, 1983.Google Scholar
  6. 6.
    E. Stübler, Zeitschrift für Math. und Phys., 57 (1909), 260–271.MATHGoogle Scholar
  7. 7.
    V. V. Kozlov, Method of Qualitative Analysis in Dynamics of Solids [in Russian], NITs “RKhD” Izhevsk, 2000.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. V. Borisov
    • 1
  • A. A. Kilin
    • 1
  • I. S. Mamaev
    • 1
  1. 1.Institute for Computer StudiesUdmurtiya State UniversityIzhevsk

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