Asymptotic relationship between homoclinic points and periodic orbit stability exponents.
basic_science · Level V
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- Record sourced from PubMed, PMID 31870019.
- Also identified by DOI 10.1103/PhysRevE.100.052202.
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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.