Periodic bounce orbits of prescribed energy
Dynamical Systems
2011-10-17 v2 Symplectic Geometry
Abstract
We prove the existence of periodic bounce orbits of prescribed energy on an open bounded domain in Euclidean space. We derive explicit bounds on the period and the number of bounce points.
Keywords
Cite
@article{arxiv.1006.1125,
title = {Periodic bounce orbits of prescribed energy},
author = {Peter Albers and Marco Mazzucchelli},
journal= {arXiv preprint arXiv:1006.1125},
year = {2011}
}
Comments
18 pages, 3 figures; v2: improved main result, removed typos