Non-integrability of the truncated Toda lattice Hamiltonian at any order |
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| Authors: | Haruo Yoshida |
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| Institution: | (1) Centre de Physique Théorique, Ecole Polytechnique, F-91128 Palaiseau, France;(2) Present address: Department of Mathematics, Imperial College of Science and Technology, 180 Queen's Gate, SW7 2BZ London, United Kingdom |
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| Abstract: | Two sufficient conditions for the non-existence of an additional analytic integral are given for Hamiltonian systems with non-homogeneous polynomial potential of an arbitrary degree. An application is made to the truncated three-particle Toda lattice, which is proved to be non-integrable at any order. |
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