On the algebraic non-integrability of the Halphen system

arxiv: solv-int/9505002 · v1 · pith:AANPYVIMnew · submitted 1995-05-12 · solv-int · nlin.SI

Andrzej J.~Maciejewski (Institute of Astronomy , N. Copernicus University , Chopina 12-18 , 87-100 Toru\'n , Poland) , Jean-Marie Strelcyn (D\'epartement de Math\'ematiques , Universit\'e de Rouen , 76821 Mont Saint Aignan Cedex

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France URA CNRS 1378)

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classification solv-int nlin.SI

keywords halphensystemalgebraicdifferentialequationsfirstintegralsnon-integrability

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

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