Non-integrability of a system with the Dyson Potential
Dynamical Systems
2017-12-04 v1
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.
Keywords
Cite
@article{arxiv.1712.00189,
title = {Non-integrability of a system with the Dyson Potential},
author = {Georgi Georgiev},
journal= {arXiv preprint arXiv:1712.00189},
year = {2017}
}