Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]

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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 3, Pages 355–359 (Mi nd449)

Invariant measure and hamiltonization of nonholonomic systems

Alexey V. Borisov^ab, Ivan S. Mamaev^c

^a Udmurt State University, Universitetskaya 1, Izhevsk, 426034, Russia
^b National Research Nuclear University “MEPhI”, Kashirskoye shosse 31, Moscow, 115409, Russia
^c Kalashnikov Izhevsk State Technical University, Studencheskaya 7, Izhevsk, 426069, Russia

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Abstract: This paper discusses new unresolved problems of nonholonomic mechanics. Hypotheses of the possibility of Hamiltonization and the existence of an invariant measure for such systems are advanced.

Keywords: nonholonomic mechanics, tensor invariant, invariant measure, Poisson structure.

Received: 03.09.2014
Revised: 24.09.2014

Document Type: Article

UDC: 517.925

MSC: 37J60, 37J35

Language: Russian

Citation: Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359

Citation in format AMSBIB

\Bibitem{BorMam14}

\by Alexey~V.~Borisov, Ivan~S.~Mamaev

\paper Invariant measure and hamiltonization of nonholonomic systems

\jour Nelin. Dinam.

\yr 2014

\vol 10

\issue 3

\pages 355--359

\mathnet{http://mi.mathnet.ru/nd449}

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https://www.mathnet.ru/eng/nd449

https://www.mathnet.ru/eng/nd/v10/i3/p355

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