Billiard dynamics of bouncing dumbbell
Dynamical Systems
2015-06-16 v1
Abstract
A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case, the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.
Keywords
Cite
@article{arxiv.1306.5201,
title = {Billiard dynamics of bouncing dumbbell},
author = {Y. Baryshnikov and V. Blumen and K. Kim and V. Zharnitsky},
journal= {arXiv preprint arXiv:1306.5201},
year = {2015}
}
Comments
14 pages, 4 figures