Skip to main content
Log in

Stability of motion of a nonautonomous gyrostat

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. Levi-Civita and Amaldi, Course in Theoretical Mechanics [Russian translation], Vol. 2, IL, Moscow (1959), Chap. 2.

    Google Scholar 

  2. V. V. Rumyantsev and V. N. Skimel', “Stability of gyroscopes, gyrostats, and gyroscopic systems,” in: Proceedings of the Ail-Union Conference on Theoretical and Applied Mechanics [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  3. V. V. Rumyantsev, On Stability of Stationary Motions of Sputniks [in Russian], VTs AN SSSR, Moscow (1967).

    Google Scholar 

  4. N. E. Zhukovskii, “On motions of a solid with a cavity filled by a homogeneous dripping liquid,” in: Collected Papers [in Russian], Vol. 2, Gostekhizdat, Moscow (1964).

    Google Scholar 

  5. V. V. Rumyantsev, “On stability of gyrostats,” Prikl. Matem. Mekhan.,25, No. 1 (1964).

  6. V. N. Skimel', “On the stability of certain motions of a gyrostat,” Tr. Kazanskogo Aviatsionnogo In-ta, No. 71 (1962).

  7. E. Kamke, Handbook of Ordinary Differential Equations [Russian translation], Fizmatgiz, Moscow (1961).

    Google Scholar 

  8. N. G. Chetaev, “On the stability of rotation of a solid with one fixed point in the Lagrange case,” in: Stability of Motion. Papers on Analytic Mechanics [in Russian], Izd. AN SSSR, Moscow (1968).

    Google Scholar 

  9. P. A. Kuz'min, Small Oscillations and Stability of Motion [in Russian], Kazanskii Aviatsionnyi Institut, Kazan' (1968), Chap. 3.

    Google Scholar 

  10. A. M. Lyapunov, The General Problem of Stability of Motion [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

  11. R. Bellman, Introduction to Matrix Theory [Russian translation], Nauka, Moscow (1969).

    Google Scholar 

  12. B. F. Bylov, R. E. Vinograd, D. M. Grobman, and V. V. Nemytskii, Theory of Lyapunov Exponents [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  13. B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  14. P. Appel', Theoretical Mechanics [in Russian], Vol. 2, Fizmatgiz, Moscow (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 744–751, November–December, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Druzhinin, É.I. Stability of motion of a nonautonomous gyrostat. Ukr Math J 24, 597–603 (1972). https://doi.org/10.1007/BF01085409

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085409

Navigation