Skip to main content
Log in

Asymptotic expansions of invariant manifolds. II

  • 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, Some Statistical Methods in Mathematical Physics [in Russian], Academy of Sciences of the Ukrainian SSR, Lvov (1945).

    Google Scholar 

  2. N. N. Bogolyubov and Yu. A. Mitropol'skii, “Method of integral manifolds in nonlinear mechanics,” Proc. Internat. Sympos. Nonlinear Vibrations, Academy of Sciences of the Ukrainian SSR, Kiev,1, 93–154 (1963).

    Google Scholar 

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

    Google Scholar 

  4. Ya. S. Baris and O. B. Lykova, “Asymptotic expansions of invariant manifolds. I,” Ukr, Mat. Zh.,39, No. 4, 411–418 (1987).

    Google Scholar 

  5. A. M. Lyapunov, The General Problem of Stability of Motion, GITTL, Moscow-Leningrad (1950).

    Google Scholar 

  6. O. B. Lykova, “Behavior of solutions of a system of differential equations in the neighborhood of an isolated statistical solution,” Dokl. Akad. Nauk SSSR,115, No. 3, 447–449 (1957).

    Google Scholar 

  7. A. Kelley, “The stable, center-stable, center, center-unstable, unstable manifolds,” J. Diff. Eq.,3, 546–570 (1967).

    Google Scholar 

  8. N. Bourbaki, Functions of a Real Variable [Russian translation], Nauka, Moscow (1965).

    Google Scholar 

  9. Ya. S. Baris and O. B. Lykova, “Approximate integral manifolds of systems of differential equations,” Preprint, Academy of Sciences of the Ukrainian SSR, Institute of Mathematics, 79.15, Kiev (1979).

    Google Scholar 

  10. Ya. S. Baris and O. B. Lykova, “Approximate integral manifolds of systems of linear differential equations,” Preprint, Academy of Sciences of the Ukrainian SSR, Institute of Mathematics, 80.5, Kiev (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp.709–716, November–December, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baris, Y.S., Lykova, O.B. Asymptotic expansions of invariant manifolds. II. Ukr Math J 40, 597–603 (1988). https://doi.org/10.1007/BF01057176

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057176

Keywords

Navigation