Skip to main content
Log in

Separation of fast and slow motions by method of integral manifolds

  • 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. N. N. Bogolyubov and Yu. A. Mitropol'skii, “Method of integral manifolds in nonlinear mechanics,” Proc. of International Symposium on Nonlinear Oscillations, Vol. 1, Izd. Akad. Nauk Ukr. SSR, Kiev (1963), pp. 98–154.

    Google Scholar 

  2. Yu. A. Mitropol'skii and O. B. Lykova, Integral Manifolds in Nonlinear Mechanics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  3. V. V. Strygin, “Integral manifolds in the problem of singular and parametric disturbance of an oscillatory system,” Differential Equations and Their Applications [in Russian], Kuibyshev State Univ. (1975), pp. 108–127.

  4. V. A. Sobolev and V. V. Strygin, “On the admissibility of passage to precession equations of gyroscopic systems,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5, 10–17 (1978).

    Google Scholar 

  5. V. V. Strygin and V. A. Sobolev, “Method of integral manifolds in problem of admissibility of solution of procession equations of gyroscopic systems,” Problems of Stability of Motion, Analytic Mechanics and Control of Motion [in Russian], Nauka, Novosibirsk (1979), pp. 38–43.

    Google Scholar 

  6. S. V. Bogatyrev and V. V. Strygin, “On motion of conducting rigid body about center of mass in magnetic field,” Papers of extended sessions of I. N. Vekua seminar of Institute of Applied Mathematics,1, No. 3, 12–15 (1982).

    Google Scholar 

  7. D. R. Merkin, Gyroscopic Systems [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  8. A. P. Kotenko, “Separation of slow components of motion of gyroscopic system,” in: Approximate Methods of Study of Differential Equations and Applications [in Russian], Kuibyshev Univ. (1984).

  9. E. M. Fridman, “Stable, centrally stable, central, centrally unstable, unstable manifolds of singularly disturbed systems of neutral type,” Loc. cit., 119–137.

  10. V. A. Sobolev, “Fast and slow motions of gyroscopic systems,” Periob. Polytech. Elec. Eng.,29, No. 1, 51–64 (1985).

    Google Scholar 

  11. L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  12. V. V. Golubkov, “Moment of forces in magnetic field,” Kosm. Issled.,10, No. 1, 20–38 (1972).

    Google Scholar 

  13. A. I. Kobrin and Yu. G. Martynenko, “Motion of conducting rigid body about center of mass in slowly varying magnetic field,” Dokl. Akad. Nauk SSSR,261, No. 5, 1070–1073 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 220–224, March–April, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Strygin, V.V. Separation of fast and slow motions by method of integral manifolds. Ukr Math J 39, 185–188 (1987). https://doi.org/10.1007/BF01057502

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057502

Keywords

Navigation