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Uspekhi Mat. Nauk, 1977, Volume 32, Issue 4(196), Pages 175–236 (Mi umn3221)  

This article is cited in 33 scientific papers (total in 36 papers)

The structures of Hamiltonian mechanics

A. M. Vinogradov, B. A. Kupershmidt


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English version:
Russian Mathematical Surveys, 1977, 32:4, 177–243

Bibliographic databases:

UDC: 519.9
MSC: 70H20, 70H15, 70H33, 70H06, 37J35
Received: 20.10.1975

Citation: A. M. Vinogradov, B. A. Kupershmidt, “The structures of Hamiltonian mechanics”, Uspekhi Mat. Nauk, 32:4(196) (1977), 175–236; Russian Math. Surveys, 32:4 (1977), 177–243

Citation in format AMSBIB
\Bibitem{VinKup77}
\by A.~M.~Vinogradov, B.~A.~Kupershmidt
\paper The structures of Hamiltonian mechanics
\jour Uspekhi Mat. Nauk
\yr 1977
\vol 32
\issue 4(196)
\pages 175--236
\mathnet{http://mi.mathnet.ru/umn3221}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=501143}
\zmath{https://zbmath.org/?q=an:0365.70016|0383.70020}
\transl
\jour Russian Math. Surveys
\yr 1977
\vol 32
\issue 4
\pages 177--243
\crossref{https://doi.org/10.1070/RM1977v032n04ABEH001642}


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    2. A. V. Belyaev, “On the motion of a multidimensional body with fixed point in a gravitational field”, Math. USSR-Sb., 42:3 (1982), 413–418  mathnet  crossref  mathscinet  zmath
    3. A. A. Arsen'ev, “On invariant measures for classical dynamical systems with infinite-dimensional phase space”, Math. USSR-Sb., 49:2 (1984), 291–303  mathnet  crossref  mathscinet  zmath
    4. Jerrold Marsden, Alan Weinstein, “Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids”, Physica D: Nonlinear Phenomena, 7:1-3 (1983), 305  crossref
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    7. Darryl D. Holm, Jerrold E. Marsden, Tudor Ratiu, Alan Weinstein, “Nonlinear stability of fluid and plasma equilibria”, Physics Reports, 123:1-2 (1985), 1  crossref
    8. Boris A. Kupershmidt, “Linearized structures of Lagrangian, Hamiltonian, and quasi-Hamiltonian systems”, Physics Letters A, 114:5 (1986), 231  crossref
    9. F. Cardin, “On the geometrical Cauchy problem for the Hamilton–Jacobi equation”, Il Nuovo Cimento B Series 10, 104:5 (1989), 525  crossref  mathscinet  isi
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    11. Darryl D Holm, Jerrold E Marsden, Tudor S Ratiu, “The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories”, Advances in Mathematics, 137:1 (1998), 1  crossref
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