Mathematical Notes

, Volume 51, Issue 2, pp 138–142 | Cite as

Tensor invariants of quasihomogeneous systems of differential equations, and the Kovalevskaya-Lyapunov asymptotic method

  • V. V. Kozlov
Brief communication


Differential Equation Asymptotic Method Tensor Invariant Quasihomogeneous System 
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Literature cited

  1. 1.
    S. V. Kovalevskaya, “A problem on the rotation of a rigid body about a fixed point,” in: Scientific Works [in Russian], Nauka, Moscow (1948), pp. 153–220.Google Scholar
  2. 2.
    A. M. Lyapunov, “On a certain property of the differential equations in a problem on the motion of a heavy rigid body having a fixed point,” in: Collected Works [in Russian], Vol. 1, Izd. Akad. Nauk SSSR, Moscow (1954), pp. 402–417.Google Scholar
  3. 3.
    H. Yoshida, “Necessary conditions for the existence of algebraic first integrals,” Celestial Mechanics,31, No. 4, 363–379 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • V. V. Kozlov
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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