On One Approach to Investigation of Mechanical Systems
Classical Analysis and ODEs
2008-04-24 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical results. Methods of computer algebra implemented in the computer algebra system (CAS) "Mathematica" were also used. Combination of these methods allowed us to obtain rather detailed information on qualitative properties for some classes of solutions of the equations.
Keywords
Cite
@article{arxiv.math/0605204,
title = {On One Approach to Investigation of Mechanical Systems},
author = {Valentin D. Irtegov and Tatyana N. Titorenko},
journal= {arXiv preprint arXiv:math/0605204},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/