Non-integrability of the fourth-order truncated Toda Hamiltonian (Q1110148)

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scientific article; zbMATH DE number 4071959
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Non-integrability of the fourth-order truncated Toda Hamiltonian
scientific article; zbMATH DE number 4071959

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    Non-integrability of the fourth-order truncated Toda Hamiltonian (English)
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    1988
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    The use of Ziglin's theorem enables the authors to prove the non- integrability of a polynomial Hamiltonian derived through the fourth- order truncation of the three-particle Toda lattice. This proof is extended to more general fourth order Hamiltonians.
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    Hamilton's principle
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    nonlinear motion
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    completely integrable systems
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    truncation
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    Hamiltonians
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