Email this article Nonexistence of liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane
- Authors: Kuleshov A.S.1, Itskovich M.O.1
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Affiliations:
- Mechanics and Mathematics Faculty
- Issue: Vol 50, No 2 (2017)
- Pages: 173-179
- Section: Mechanics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185775
- DOI: https://doi.org/10.3103/S106345411702008X
- ID: 185775
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Abstract
Using the Kovacic algorithm, the nonexistence of liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough horizontal plane for almost all values of parameters of the problem is proven.
About the authors
A. S. Kuleshov
Mechanics and Mathematics Faculty
Author for correspondence.
Email: kuleshov@mech.math.msu.su
Russian Federation, Moscow, 119991
M. O. Itskovich
Mechanics and Mathematics Faculty
Email: kuleshov@mech.math.msu.su
Russian Federation, Moscow, 119991
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