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arXiv · 1909.00544

An asymptotic relationship between homoclinic points and periodic orbit stability exponents

Jizhou Li·Steven Tomsovic
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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.

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Jizhou Li, Steven Tomsovic. 2019-09-02. An asymptotic relationship between homoclinic points and periodic orbit stability exponents. https://doi.org/10.1103/physreve.100.052202

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