The Hormander index of symmetric periodic orbits
Symplectic Geometry
2018-11-08 v1
Abstract
A symmetric periodic orbit is a special kind of periodic orbit that can also be regarded as a Lagrangian intersection point. Therefore it has two Maslov indices whose difference is the Hormander index. In this paper we provide a formula for the Hormander index of a symmetric periodic orbit and its iterates in terms of Chebyshev polynomials.
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Cite
@article{arxiv.1208.4756,
title = {The Hormander index of symmetric periodic orbits},
author = {Urs Frauenfelder and Otto van Koert},
journal= {arXiv preprint arXiv:1208.4756},
year = {2018}
}
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8 pages