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This article is cited in 10 scientific papers (total in 10 papers)
The Hess–Appelrot system and its nonholonomic analogs
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
This paper is concerned with the nonholonomic Suslov problem and its generalization proposed by Chaplygin. The issue of the existence of an invariant measure with singular density (having singularities at some points of the phase space) is discussed.
Received: April 25, 2016
Citation:
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “The Hess–Appelrot system and its nonholonomic analogs”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 268–292; Proc. Steklov Inst. Math., 294 (2016), 252–275
Linking options:
https://www.mathnet.ru/eng/tm3726https://doi.org/10.1134/S0371968516030171 https://www.mathnet.ru/eng/tm/v294/p268
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