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arXiv · 1208.4756

The Hormander index of symmetric periodic orbits

Urs Frauenfelder·Otto van Koert
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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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Urs Frauenfelder, Otto van Koert. 2012-08-23. The Hormander index of symmetric periodic orbits. https://arxiv.org/abs/1208.4756

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