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Bi-Hamiltonian structure of an integrable Henon-Heiles system

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Publication:3986037
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DOI10.1088/0305-4470/24/10/005zbMath0738.70009OpenAlexW2056180396MaRDI QIDQ3986037

R. Caboz, V. Ravoson, Lyubomir Gavrilov

Publication date: 27 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/10/005


zbMATH Keywords

Hamilton-Jacobi equationbi-Hamiltonian structureintegrable Hénon- Heiles Hamiltonian


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton-Jacobi equations in mechanics (70H20)


Related Items

New bi-Hamiltonian systems on the plane ⋮ Families of quasi-bi-Hamiltonian systems and separability ⋮ A generalized Henon–Heiles system and related integrable Newton equations ⋮ Integrability of the Hénon-Heiles system ⋮ The bi-Hamiltonian structure of the Lagrange top ⋮ Quasi-Bi-Hamiltonian Systems Obtained from Constrained Flows ⋮ Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables



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