On the algebraic non-integrability of the Halphen system

Abstract

It is proved that the Halphen system of ordinary differential equations has no non-trivial rational first integrals.

10 pages, AMSLaTeX, to appear in Physics Letters A

Cited by in corpus (3)

• The algebraic structure of geometric flows in two dimensions
• Meromorphic vector fields with single-valued solutions on complex surfaces
• Quadratic Differential Systems and Chazy Equations, I