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Non-Integrability of the Trapped Ionic System

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  • Georgiev, Georgi

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.

Suggested Citation

  • Georgiev, Georgi, 2021. "Non-Integrability of the Trapped Ionic System," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003489
    DOI: 10.1016/j.chaos.2021.110994
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    Cited by:

    1. El Fakkousy, Idriss & Zouhairi, Bouchta & Benmalek, Mohammed & Kharbach, Jaouad & Rezzouk, Abdellah & Ouazzani-Jamil, Mohammed, 2022. "Classical and quantum integrability of the three-dimensional generalized trapped ion Hamiltonian," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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