On the algebraic non-integrability of the Halphen system
solv-int
2016-09-08 v1 Exactly Solvable and Integrable Systems
Abstract
It is proved that the Halphen system of ordinary differential equations has no non-trivial rational first integrals.
Cite
@article{arxiv.solv-int/9505002,
title = {On the algebraic non-integrability of the Halphen system},
author = {Andrzej J. ~Maciejewski and Jean-Marie Strelcyn},
journal= {arXiv preprint arXiv:solv-int/9505002},
year = {2016}
}
Comments
10 pages, AMSLaTeX, to appear in Physics Letters A