A note on the integrability of Hamiltonian 1 : 2 : 2 resonance
Exactly Solvable and Integrable Systems
2018-02-20 v1
Abstract
We study the integrability of the Hamiltonian normal form of 1 : 2 : 2 resonance. It is known that this normal form truncated to order three is integrable. The truncated to order four normal form contains too many parameters. For a generic choice of parameters in the normal form up to order four we prove a non-integrability result using Morales-Ramis theory. We also isolate a non-trivial case of integrability.
Keywords
Cite
@article{arxiv.1802.06247,
title = {A note on the integrability of Hamiltonian 1 : 2 : 2 resonance},
author = {Ognyan Christov},
journal= {arXiv preprint arXiv:1802.06247},
year = {2018}
}
Comments
10 pages, 1 figure