Topological analysis of integrable problems in the dynamics of a rigid body
Exactly Solvable and Integrable Systems
2015-04-07 v2
Abstract
The book contains the results obtained by the author in 1975-1982 and presents new constructive methods of the topological analysis of integrable systems having non-linear integrals in involution. The phase topology of the classical integrable cases of the rigid body dynamics is investigated including the cases of Euler-Zhukovsky, Goryachev-Chaplygin-Sretenski and Kovalevskaya. All types of bifurcations of two-dimensional tori in these problems are revealed.
Keywords
Cite
@article{arxiv.1401.1015,
title = {Topological analysis of integrable problems in the dynamics of a rigid body},
author = {Mikhail P. Kharlamov},
journal= {arXiv preprint arXiv:1401.1015},
year = {2015}
}
Comments
LaTeX version of the book printed in 1988 in Leningrad, in Russian. In version 2 some mistyping is removed