English

Symmetry of Quadratic Homogeneous Differential Systems

Differential Geometry 2008-07-08 v1

Abstract

In this paper, the symmetry group of a differential system of n quadratic homogeneous first order ODEs of n variables is studied. For this purpose, we consider the action of both point and contact transformations to signify the corresponding Lie algebras. We also find the independent differential invariants of these actions.

Keywords

Cite

@article{arxiv.0807.0845,
  title  = {Symmetry of Quadratic Homogeneous Differential Systems},
  author = {Mehdi Nadjafikhah and Ali Mahdipour-Shirayeh},
  journal= {arXiv preprint arXiv:0807.0845},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T10:57:43.225Z