An asymptotic relationship between homoclinic points and periodic orbit stability exponents

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.

6 pages, 3 figures. arXiv admin note: text overlap with arXiv:1712.05568