Using Lagrangian descriptors to calculate the Maslov index of periodic orbits.
basic_science · Level V
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- Record sourced from PubMed, PMID 39160980.
- Also identified by DOI 10.1103/PhysRevE.110.014213.
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Abstract
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.