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

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Publication:1805712
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DOI10.1023/A:1026657803701zbMath0951.70011OpenAlexW197055127MaRDI QIDQ1805712

Manuel F. Rañada, José F. Cariñena

Publication date: 18 November 1999

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026657803701


zbMATH Keywords

integrabilityharmonic oscillatorsLagrangian formulationbi-Hamiltonian systemsdeformation of harmonic oscillatorsHénon-Heiles integrable systems


Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lagrange's equations (70H03)


Related Items (2)

General conditions for the existence of non-standard Lagrangians for dissipative dynamical systems ⋮ Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture







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