Integrability of the Hénon-Heiles system

DOI10.1016/S0893-9659(98)00035-4zbMath0952.37034MaRDI QIDQ1124846

Roman G. Smirnov

Publication date: 4 January 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Hénon-Heiles systemcomplete integrabilitybi-Hamiltonian dynamical systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

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The action-angle coordinates revisited: bi-Hamiltonian systems ⋮ Separability of the Toda lattice

Cites Work

• Hamiltonian operators and algebraic structures related to them
• The Hénon-Heiles system revisited
• Bi-Hamiltonian formalism: A constructive approach
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Bi-Hamiltonian structure of an integrable Henon-Heiles system
• A simple model of the integrable Hamiltonian equation
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