Mathematical Notes

, Volume 70, Issue 5–6, pp 720–723 | Cite as

Chaplygin's Ball Rolling Problem Is Hamiltonian

  • A. V. Borisov
  • I. S. Mamaev
Chaplygin's ball rolling problem potential force field Poisson bracket Euler--Jacobi theorem 

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REFERENCES

  1. 1.
    S. A. Chaplygin, in: Collection of Works [in Russian], vol. 1, OGIZ, Moscow-Leningrad, 1948, pp. 76–101.Google Scholar
  2. 2.
    V. V. Kozlov, Symmetries, Topology, and Resonances in Hamilton mechanics [in Russian], Izd. Udmurtsk Univ., Izhevsk, 1995.Google Scholar
  3. 3.
    A. V. Borisov and I. S. Mamaev, Poisson Structures and Lie Algebras in the Hamilton mechanics [in Russian], Izd. RKhD, Izhevsk, 1999.Google Scholar
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    S. P. Novikov, Uspekhi Mat. Nauk [Russian Math. Surveys], 37 (1982), no. 5, 3–49.Google Scholar
  5. 5.
    H. W. Braden, Lett. in Math. Phys., 6 (1982), 449–452.Google Scholar
  6. 6.
    S. Wojciechowski, Phys. Lett. A., 107 (1984), no. 3, 106–111.Google Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • A. V. Borisov
    • 1
  • I. S. Mamaev
    • 2
  1. 1.M. V. Lomonosov Moscow State UniversityRussia
  2. 2.Udmurtsk State UniversityIzhevsk

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