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A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents

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Abstract

It is noted that the Yoshida criterion, contending that the existence of a non-rational Kowalevski exponent implies non-integrability (in the algebraic sense), has not been proved forn>2.

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References

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Authors and Affiliations

  1. Dpto. Metodos Matemáticos de la Fisica, Facultad de C. Fisicas, Universidad Complutense, Madrid, Spain

    F. González-Gascón

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  1. F. González-Gascón
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González-Gascón, F. A word of caution concerning the Yoshida criterion on algebraic integrability and Kowalevski exponents. Celestial Mechanics 44, 309–311 (1988). https://doi.org/10.1007/BF01234269

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  • DOI: https://doi.org/10.1007/BF01234269

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