Email this article The Hess—Appelrot system and its nonholonomic analogs
- Authors: Bizyaev I.A.1, Borisov A.V.1, Mamaev I.S.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 294, No 1 (2016)
- Pages: 252-275
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173989
- DOI: https://doi.org/10.1134/S0081543816060171
- ID: 173989
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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.
About the authors
I. A. Bizyaev
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: bizaev_90@mail.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
A. V. Borisov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: bizaev_90@mail.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
I. S. Mamaev
Steklov Mathematical Institute of Russian Academy of Sciences
Email: bizaev_90@mail.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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