Dynamics of rolling disk
混沌动力学
2007-05-23 v1 可精确求解与可积系统
摘要
In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P. Appel and D. Korteweg who showed its integrability. The behavior of the point of contact on a plane is investigated and conditions under which its trajectory is finit are obtained. The bifurcation diagrams are constructed.
引用
@article{arxiv.nlin/0502039,
title = {Dynamics of rolling disk},
author = {A. V. Borisov and I. S. Mamaev and A. A. Kilin},
journal= {arXiv preprint arXiv:nlin/0502039},
year = {2007}
}
备注
12 pages, 9 figures