A generalized Henon–Heiles system and related integrable Newton equations

DOI10.1063/1.530565zbMath0801.58019OpenAlexW2080860351MaRDI QIDQ4298631

Stefan Rauch-Wojciechowski, Maciej Błaszak

Publication date: 9 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530565

zbMATH Keywords

Hénon-Heiles systemsintegrable Newton equations

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) Soliton equations (35Q51)

Related Items

On separability of bi-Hamiltonian chain with degenerated Poisson structures, Integration of a generalized Hénon–Heiles Hamiltonian, A New Discrete Hénon-Heiles System, Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach, Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system, Non-autonomous Hénon-Heiles system from Painlevé class, Adjoint symmetries, separability, and volume forms, Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy, An extended Hénon-Heiles system, Canonical transformations of the extended phase space and integrable systems, Symmetries, separability and volume forms, Explicit integration of a generic Hénon-Heiles system with quartic potential, Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems, A connection between HH3 and Korteweg–de Vries with one source, Inverse bi-Hamiltonian separable chains, Separability of the Toda lattice, Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2)), Quasi-Lagrangian systems of Newton equations, Global Bifurcations of Periodic Solutions of Hénon–Heiles System Via Degree for S¹-Equivariant Orthogonal Maps

Cites Work

• The Hénon-Heiles system revisited
• Newton representation of nonlinear ordinary differential equations
• When is a Hamiltonian system separable?
• Factorization of operators I. Miura transformations
• Bi-Hamiltonian structure of an integrable Henon-Heiles system
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• Separability and Lax pairs for Hénon–Heiles system