On the algebraic non-integrability of the Halphen system

Andrzej J. ~Maciejewski; Jean-Marie Strelcyn

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On the algebraic non-integrability of the Halphen system

Andrzej J. ~Maciejewski·Jean-Marie Strelcyn

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Abstract

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

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Andrzej J. ~Maciejewski, Jean-Marie Strelcyn. 1995-05-12. On the algebraic non-integrability of the Halphen system. https://arxiv.org/abs/solv-int/9505002

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