Non-Integrability of the Trapped Ionic System

Georgi Georgiev

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

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.

Keywords: Hamiltonian system; Meromorphic non-integrability; Variational equation; Heun equation; Lamé equation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003489

DOI: 10.1016/j.chaos.2021.110994

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