Skip to main content
Log in

Asymptotic behavior of trajectories of a standard mapping

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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. G. D. Brkhoff, “Surface transformations and their dynamical applications,” Acta Math.,43, 1–119 (1920).

    Google Scholar 

  2. J. M. Green, “A method for determining a stochastic transition,” J. Math. Phys.,20, No. 6, 1183–1201 (1979).

    Google Scholar 

  3. A. Lichtenberg and M. Lieberman, Regular and Stochastic Dynamics [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  4. S. E. Burkov and Ya. G. Sinai, “On winding numbers which do not involve the KAM theory,” Funkts. Anal. Prilozhen.,18, No. 4, 73–74 (1984).

    Google Scholar 

  5. K. L. Siegel, Lectures in Celestial Mechanics [Russian translation], Inostr. Lit., Moscow (1959).

    Google Scholar 

  6. G. M. Zaslavskii and B. V. Chirikov, “Stochastic instability of nonlinear oscillations,” Usp. Fiz. Nauk,105, No. 1, 3–41 (1971).

    Google Scholar 

  7. G. M. Zaslavskii, Stochastic Noninvertibility in Nonlinear Systems [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  8. R. E. Langer (ed.), Nonlinear Problems, Univ. Wisconsin Press, Madison (1963).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 39, No. 5, pp. 719–726, May, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pustyl'nikov, L.D. Asymptotic behavior of trajectories of a standard mapping. Mathematical Notes of the Academy of Sciences of the USSR 39, 395–399 (1986). https://doi.org/10.1007/BF01156679

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01156679

Keywords

Navigation