An asymptotic relationship between homoclinic points and periodic orbit stability exponents
Chaotic Dynamics
2019-11-13 v1
Abstract
The magnitudes of the terms in periodic orbit semiclassical trace formulas are determined by the orbits' stability exponents. In this paper, we demonstrate a simple asymptotic relationship between those stability exponents and the phase-space positions of particular homoclinic points.
Keywords
Cite
@article{arxiv.1909.00544,
title = {An asymptotic relationship between homoclinic points and periodic orbit stability exponents},
author = {Jizhou Li and Steven Tomsovic},
journal= {arXiv preprint arXiv:1909.00544},
year = {2019}
}
Comments
6 pages, 3 figures. arXiv admin note: text overlap with arXiv:1712.05568