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The Hess—Appelrot system and its nonholonomic analogs

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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    I. A. Bizyaev, A. V. Borisov & I. S. Mamaev

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  1. I. A. Bizyaev
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  2. A. V. Borisov
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  3. I. S. Mamaev
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Correspondence to I. A. Bizyaev.

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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Vol. 294, pp. 268–292.

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Bizyaev, I.A., Borisov, A.V. & Mamaev, I.S. The Hess—Appelrot system and its nonholonomic analogs. Proc. Steklov Inst. Math. 294, 252–275 (2016). https://doi.org/10.1134/S0081543816060171

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