Kowalevski's analysis of the swinging Atwood's machine
Mathematical Physics
2015-05-14 v1 High Energy Physics - Theory
math.MP
Abstract
We study the Kowalevski expansions near singularities of the swinging Atwood's machine. We show that there is a infinite number of mass ratios where such expansions exist with the maximal number of arbitrary constants. These expansions are of the so--called weak Painlev\'e type. However, in view of these expansions, it is not possible to distinguish between integrable and non integrable cases.
Keywords
Cite
@article{arxiv.0909.5574,
title = {Kowalevski's analysis of the swinging Atwood's machine},
author = {Olivier Babelon and Michel Talon and Michel Capdequi Peyranère},
journal= {arXiv preprint arXiv:0909.5574},
year = {2015}
}
Comments
30 pages