Non-Integrability of the Trapped Ionic System II
Dynamical Systems
2022-12-13 v6
Abstract
In this paper we explore the two dimensional 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-Ramis classical methods for the proofs. The inaccuracies from the previous such paper have been removed.
Cite
@article{arxiv.2209.13810,
title = {Non-Integrability of the Trapped Ionic System II},
author = {Georgi Georgiev},
journal= {arXiv preprint arXiv:2209.13810},
year = {2022}
}