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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 3-4, Pages 72–89
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000049 (Mi rcd1011) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the 60th birthday of V.I.Arnold

Non-linear Poisson brackets and isomorphisms in dynamics

A. V. Borisova, I. S. Mamaevb

a 119899, Moscow, Vorobyovy Gory, Moscow State University named after M.V. Lomonosov, Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics
b 426034, Izhevsk, Universitetskaya, 1, Udmurt State University, Laboratory of Nonlinear Dynamics and Synergetics
Citations (4)
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000049
Abstract: In the paper the equations of motion of a rigid body in the Hamiltonian form on the subalgebra of algebra $e(4)$ are written. With the help of the algebraic methods a number of new isomorphisms in dynamics is established. We consider the lowering of the order as the process of decreasing rank of the Poisson structure with the algebraic point of view and indicate the possibility of arising the nonlinear Poisson brackets at this reduction as well.
Received: 01.09.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “Non-linear Poisson brackets and isomorphisms in dynamics”, Regul. Chaotic Dyn., 2:3-4 (1997), 72–89
Citation in format AMSBIB
\Bibitem{BorMam97}
\by A.~V.~Borisov, I.~S.~Mamaev
\paper Non-linear Poisson brackets and isomorphisms in dynamics
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 3-4
\pages 72--89
\mathnet{http://mi.mathnet.ru/rcd1011}
\crossref{https://doi.org/10.1070/RD1997v002n03ABEH000049}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702340}
\zmath{https://zbmath.org/?q=an:0954.37032}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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