Skip to main content
SpringerLink
Log in

Conditional stability of quasitoroidal manifolds of systems of partial differential equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate the problem of conditional stability of quasitoroidal manifolds of a system of partial differential equations.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yu. A. Mitropol’skii, A. M. Samoilenko, and D. I. Martynyuk, Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  2. Yu. A. Mitropol’skii and O. B. Lykova, Integral Manifolds in Nonlinear Mechanics [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  3. A. M. Samoilenko, “On conditional periodicity of invariant tori of dynamical systems,” Differents. Uravn., 11, No. 5, 820–834 (1975).

    Google Scholar 

  4. A. V. Dvorak, “On conditional stability of invariant tori of dynamical systems,” Differents. Uravn., 12, No. 8, 1410–1416 (1976).

    MATH  MathSciNet  Google Scholar 

  5. Yu. A. Mitropol’skii and B. P. Tkach, Quasitoroidal Manifolds of Systems of Partial Differential Equations with Delay [in Russian], Preprint No. 92.5, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1992).

    Google Scholar 

  6. A. B. Vasil’eva, S. A. Kashchenko, Yu. S. Kolesov, and N. Kh. Rosov, “Bifurcation of autooscillations of parabolic systems with low diffusion,” Mat. Sb., 130, No. 4, 486–499 (1986).

    Google Scholar 

  7. S. A. Kashchenko and Yu. S. Kolesov, “Diffusion instability of tori,” Dokl. Akad. Nauk SSSR, 281, No. 4, 1307–1309 (1985).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Agrarian University, Kiev

    B. P. Tkach

Authors
  1. B. P. Tkach
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 401–408, March, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tkach, B.P. Conditional stability of quasitoroidal manifolds of systems of partial differential equations. Ukr Math J 50, 455–463 (1998). https://doi.org/10.1007/BF02528809

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02528809

Keywords

Search

Navigation