On 2-antiparallel encounters on factors of the hyperbolic plane
Dynamical Systems
2017-03-10 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider the geodesic flow on factors of the hyperbolic plane. We prove that a periodic orbit including a 2-antiparallel encounter has a partner orbit. We construct the partner orbit and give an estimate for the action different between the orbit pair. Then we apply the result to reprove the accuracy of Sieber/Richter's prediction in [Sieber and Richter, 2001].
Keywords
Cite
@article{arxiv.1703.02967,
title = {On 2-antiparallel encounters on factors of the hyperbolic plane},
author = {Huynh Minh Hien},
journal= {arXiv preprint arXiv:1703.02967},
year = {2017}
}