The Non-integrability of a Silnikov Equation
Dynamical Systems
2014-03-11 v1
Abstract
Based on the Lie group theory, the one-parameter Lie group admitted by a Silnikov equation is studied. The result reveals that the Silnikov equation accepts no global analytical non-trivial one-parameter Lie group. In this sense, the Silnikov equation is not integrable in quadrature.
Cite
@article{arxiv.1403.1925,
title = {The Non-integrability of a Silnikov Equation},
author = {Yanxia Hu},
journal= {arXiv preprint arXiv:1403.1925},
year = {2014}
}