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Integrability of the Hénon-Heiles system - MaRDI portal

Integrability of the Hénon-Heiles system (Q1124846)

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scientific article; zbMATH DE number 1371356
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Integrability of the Hénon-Heiles system
scientific article; zbMATH DE number 1371356

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    Integrability of the Hénon-Heiles system (English)
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    4 January 2000
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    The author separates the integrable case of the Hénon-Heiles system by constructing the bi-Hamiltonian representation defined by a pair of constant Poisson bi-vectors. This is possible for Hamiltonians with two degrees of freedom and it leads to complete integrability.
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    bi-Hamiltonian dynamical systems
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    Hénon-Heiles system
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    complete integrability
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