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arXiv · 1712.00189

Non-integrability of a system with the Dyson Potential

Georgi Georgiev
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Abstract

In this paper it is shown that the Hamiltonian system with Dyson potential is analytical non-integrable and formal non-integrable. The approach is based on the following: when a system has a family of periodic solutions around an equilibrium and if the period function is infinitely branched then the system has non additional analytic first integral. We prove formal non-integrability using Ziglin-Moralez-Ruiz-Ramis theory.

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Georgi Georgiev. 2017-12-01. Non-integrability of a system with the Dyson Potential. https://arxiv.org/abs/1712.00189

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