Integrability of the Hénon-Heiles system
type: Item
instance of: scholarly article
title: Integrability of the Hénon-Heiles system
zbMATH Open document ID: 0952.37034
DOI: 10.1016/S0893-9659(98)00035-4
published in: Applied Mathematics Letters
publication date: 2000-01-04T00:00:00Z
review text: The author separates the integrable case of the Hénon-Heiles system by constructing the bi-Hamiltonian representation defined by a pair of constant Poisson bi-vectors. This is possible for Hamiltonians with two degrees of freedom and it leads to complete integrability.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q58
zbMATH DE Number: 1371356
zbMATH Keywords: bi-Hamiltonian dynamical systems
zbMATH Keywords: Hénon-Heiles system
zbMATH Keywords: complete integrability
author: Roman G. Smirnov
MaRDI profile type: Publication
cites work: Q5748616
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cites work: The Hénon-Heiles system revisited
cites work: Bi-Hamiltonian structure of an integrable Henon-Heiles system
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description: scientific article; zbMATH DE number 1371356