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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

On the algebraic non-integrability of the Halphen system

Authors	Andrzej J. ~Maciejewski, Jean-Marie Strelcyn
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9505002
URL	https://arxiv.org/abs/solv-int/9505002

Abstract

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

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    "abstract": "It is proved that the Halphen system of ordinary differential equations has\nno non-trivial rational first integrals.",
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    "title": "On the algebraic non-integrability of the Halphen system",
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