Generalizations of the Kovalevskaya case and quaternions
Exactly Solvable and Integrable Systems
2016-07-28 v1
Abstract
This paper provides a detailed description of various reduction schemes in rigid body dynamics. Analysis of one of such nontrivial reductions makes it possible to order the cases already found and to obtain new generalizations of the Kovalevskaya case to e(3). We note that the above reduction allows one to obtain in a natural way some singular additive terms which were proposed earlier by D.N. Goryachev.
Keywords
Cite
@article{arxiv.1607.07982,
title = {Generalizations of the Kovalevskaya case and quaternions},
author = {Ivan A. Bizyaev and Alexey V. Borisov and Ivan S. Mamaev},
journal= {arXiv preprint arXiv:1607.07982},
year = {2016}
}