Using Lagrangian descriptors to calculate the Maslov index of periodic orbits

The Maslov index of a periodic orbit is an important piece in the semiclassical quantization of nonintegrable systems, while almost all existing techniques that lead to a rigorous calculation of this index are elaborate and mathematically demanding. In this paper, we describe a straightforward techn...

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Bibliographic Details
Published inPhysical review. E Vol. 110; no. 1-1; p. 014213
Main Authors Montes, J, Arranz, F J, Borondo, F
Format Journal Article
LanguageEnglish
Published United States 01.07.2024
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Summary:The Maslov index of a periodic orbit is an important piece in the semiclassical quantization of nonintegrable systems, while almost all existing techniques that lead to a rigorous calculation of this index are elaborate and mathematically demanding. In this paper, we describe a straightforward technique, for systems with two degrees of freedom, based on the Lagrangian descriptors. Our method is illustrated by applying it to the two-dimensional coupled quartic oscillator.
ISSN:2470-0053
DOI:10.1103/PhysRevE.110.014213