On the algebraic non-integrability of the Halphen system

Details On the algebraic non-integrability of the Halphen system On the algebraic non-integrability of the Halphen system

1995-05-12

arxiv.org/abs/solv-int/9505002v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, AMSLaTeX, to appear in Physics Letters A

Scientific paper

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

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