Skip to main content
SpringerLink
Log in

Solution branching and polynomial integrals in an invertible system on a torus

  • 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

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

Literature cited

  1. V. V. Golubev, Lectures on Integration of Equations of Rotation of a Heavy Rigid Body around a Stationary Point [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  2. A. Lichtenberg and M. Lieberman, Regular and Stochastic Motion, Springer-Verlag, New York (1983).

    Google Scholar 

  3. M. Ablowitz and H. Siegur, Solitons and the Inverse Scattering Transform, SIAM Studies in Applies Mathematics, Soc. Ind. Appl. Math., Philadelphia (1981).

    Google Scholar 

  4. V. V. Kozlov, “Nonexistence of single-valued integrals and branching of solutions in rigid body dynamics,” Prikl. Mat. Mekh.,42, No. 3, 400–406 (1978).

    Google Scholar 

  5. S. L. Ziglin, “Self-crossing of complex separatrices and nonexistence of integrals in Hamiltonian systems with one-and-a-half degrees of freedom,” Prikl. Mat. Mekh.,45, No. 3, 564–566 (1981).

    Google Scholar 

  6. S. L. Ziglin, “Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics,” Funkts. Anal. Prilozh.,16, No. 3, 3041 (1982);17, No. 1, 8–23 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. V. Kozlov

Authors
  1. V. V. Kozlov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 44, No. 1, pp. 100–104, July, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozlov, V.V. Solution branching and polynomial integrals in an invertible system on a torus. Mathematical Notes of the Academy of Sciences of the USSR 44, 543–545 (1988). https://doi.org/10.1007/BF01158121

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01158121

Keywords

Search

Navigation