Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system (Q1805712)

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scientific article; zbMATH DE number 1364400
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Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system
scientific article; zbMATH DE number 1364400

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    Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system (English)
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    18 November 1999
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    The connection between integrability and the existence of alternative Lagrangian formulations is discussed, and illustrated firstly for harmonic oscillators, and then for Hénon-Heiles integrable systems (treated as a deformation of harmonic oscillators).
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    Lagrangian formulation
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    bi-Hamiltonian systems
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    integrability
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    harmonic oscillators
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    Hénon-Heiles integrable systems
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    deformation of harmonic oscillators
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