Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem
Dynamical Systems
2018-08-01 v2
Abstract
In the variational study of singular Lagrange systems, the zero energy solutions play an important role. In this paper we find a simple way of computing the Morse indices of these solutions for the planar anisotropic Kepler problem. In particular an interesting connection between the Morse indices and the oscillating behaviors of these solutions discovered by the physicist M. Gutzwiller is established.
Keywords
Cite
@article{arxiv.1705.05645,
title = {Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem},
author = {Xijun Hu and Guowei Yu},
journal= {arXiv preprint arXiv:1705.05645},
year = {2018}
}
Comments
Revision based on referees reports. Accepted by Communications in Mathematical Physics(CMP)