Email this article Generalizations of the Kovalevskaya case and quaternions
- 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 295, No 1 (2016)
- Pages: 33-44
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174123
- DOI: https://doi.org/10.1134/S0081543816080034
- ID: 174123
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Abstract
This paper provides a detailed description of various reduction schemes in rigid body dynamics. The analysis of one of such nontrivial reductions makes it possible to put the cases already found in order and to obtain new generalizations of the Kovalevskaya case to e(3). Note that the indicated reduction allows one to obtain in a natural way some singular additive terms that were proposed earlier by D.N. Goryachev.
About the authors
Ivan 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
Alexey V. Borisov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: bizaev_90@mail.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
Ivan 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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