A note on Kowalevski exponents and the non-existence of an additional analytic integral |
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| Authors: | Haruo Yoshida |
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| Institution: | (1) Department of Mathematics, Imperial College of Science and Technology, 180 Queen's Gate, SW7 2BZ London, UK;(2) Present address: National Astronomical Observatory, Mitaka, 181 Tokyo, Japan |
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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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