平面双中心Stark-Zeeman系统的$J^+$ -不变量
$J^+$-invariants for planar two-center Stark-Zeeman systems
摘要:
本文引入了平面双中心Stark- Zeeman系统的概念,并定义了其周期轨道的四个J+-like不变量。该构造基于[Cieliebak-Frauenfelder-van Koert 2017]中平面单中心Stark-Zeeman系统的先前构造以及Levi-Civita和Birkhoff正则化。我们分析了这些不变量之间的关系,并表明它们在很大程度上是独立的,基于一个新的结构称为内部连接和。
英文摘要:
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.
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