$J^+$-invariants for planar two-center Stark-Zeeman systems
Dynamical Systems
2019-10-25 v2
Abstract
In this paper, we introduce the notion of planar two-center Stark- Zeeman systems and define four J+-like invariants for their periodic orbits. The construction is based on a previous construction for planar one-center Stark-Zeeman system in [Cieliebak-Frauenfelder-van Koert 2017] as well as Levi-Civita and Birkhoff regularizations. We analyze the relationship among these invariants and show that they are largely independent, based on a new construction called interior connected sum.
Keywords
Cite
@article{arxiv.1910.04570,
title = {$J^+$-invariants for planar two-center Stark-Zeeman systems},
author = {Kai Cieliebak and Urs Frauenfelder and Lei Zhao},
journal= {arXiv preprint arXiv:1910.04570},
year = {2019}
}
Comments
40 pages, 9 figures