New invariant relations for the generalized two-field gyrostat
Exactly Solvable and Integrable Systems
2015-06-19 v2
Abstract
In the paper, we consider a completely integrable Hamiltonian system with three degrees of freedom found by V.V.Sokolov and A.V.Tsiganov. This system is known as the generalized two-field gyrostat. For the case of only gyroscopic forces present, we find new invariant four-dimensional submanifolds such that the induced dynamical systems are almost everywhere Hamiltonian with two degrees of freedom.
Cite
@article{arxiv.1403.3901,
title = {New invariant relations for the generalized two-field gyrostat},
author = {Pavel E. Ryabov},
journal= {arXiv preprint arXiv:1403.3901},
year = {2015}
}
Comments
LaTex, 13 pages. Submitted to J. of Geometry and Physics 16.03.2014