Integrability of the Trapped Ionic System
Dynamical Systems
2021-03-31 v9 Mathematical Physics
math.MP
Abstract
In this paper we will explore the 2D system describing trapped ionic system in the quadrapole field with a superposition of rationally symmetric hexapole and octopole fields for meromorphic integrability. We use the Lyapunov's and Ziglin-Morales-Ruiz-Ramis's classical methods for the proofs. The monodromy group of the normal variational equation (NVE), which is a Heun equation, is studied for commutativity. Some classical and modern results from the theory of transcendental numbers are used for the research.
Cite
@article{arxiv.2006.15908,
title = {Integrability of the Trapped Ionic System},
author = {Georgi Georgiev},
journal= {arXiv preprint arXiv:2006.15908},
year = {2021}
}