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arXiv · 2209.13810

Non-Integrability of the Trapped Ionic System II

Georgi Georgiev
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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.

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Georgi Georgiev. 2022-09-28. Non-Integrability of the Trapped Ionic System II. https://arxiv.org/abs/2209.13810

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