English

The Hess-Appelrot system and its nonholonomic analogs

Exactly Solvable and Integrable Systems 2016-07-28 v1

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 phase space) is discussed.

Keywords

Cite

@article{arxiv.1607.07977,
  title  = {The Hess-Appelrot system and its nonholonomic analogs},
  author = {Ivan A. Bizyaev and Alexey V. Borisov and Ivan S. Mamaev},
  journal= {arXiv preprint arXiv:1607.07977},
  year   = {2016}
}