On the case of Goryachev-Chaplygin and new examples of integrable conservative systems on S^2
Differential Geometry
2007-05-23 v1
Abstract
The aim of this paper is to describe a class of conservative systems on possessing an integral cubic in momenta. We prove that this class of systems consists off the case of Goryachev-Chaplygin, the one-parameter family of systems which has been found by the author in the previous paper (dg-ga/9711005) and a new two-parameter family of conservative systems on possessing an integral cubic in momenta.
Keywords
Cite
@article{arxiv.math/9801124,
title = {On the case of Goryachev-Chaplygin and new examples of integrable conservative systems on S^2},
author = {E. N. Selivanova},
journal= {arXiv preprint arXiv:math/9801124},
year = {2007}
}
Comments
16 pages, LaTex