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A note on Kowalevski exponents and the non-existence of an additional analytic integral

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Abstract

In Hamiltonian systems with a homogeneous rational potential and two degrees of freedom, the presence of imaginary Kowalevski exponents implies the non-existence of an additional analytic integral, i.e., non-integrability of the system.

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Author notes

  1. Haruo Yoshida

    Present address: National Astronomical Observatory, Mitaka, 181, Tokyo, Japan

Authors and Affiliations

  1. Department of Mathematics, Imperial College of Science and Technology, 180 Queen's Gate, SW7 2BZ, London, UK

    Haruo Yoshida

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  1. Haruo Yoshida
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Yoshida, H. A note on Kowalevski exponents and the non-existence of an additional analytic integral. Celestial Mechanics 44, 313–316 (1988). https://doi.org/10.1007/BF01234270

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  • DOI: https://doi.org/10.1007/BF01234270

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