Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case
type: Item
instance of: scholarly article
title: Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case
zbMATH Open document ID: 1194.37128
DOI: 10.1016/0167-2789(82)90027-6
published in: Physica D
publication date: 2010-09-13T00:00:00Z
Mathematics Subject Classification ID: 37K99
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 5784697
author: Philip Holmes
MaRDI profile type: Publication
full work available at URL: 0167-2789(82)90027-6
OpenAlex ID: W2014588922
cites work: Q5508817
cites work: Q4167627
cites work: Q3998228
cites work: Q5557227
cites work: Q5615009
cites work: An example of bifurcation to homoclinic orbits
cites work: Pathology in dynamical systems. III: Analytic Hamiltonians
cites work: Q3862509
cites work: Examples of Nonintegrable Analytic Hamiltonian Vector Fields with no Small Divisors
cites work: Q3314618
cites work: Errata and Addenda: Averaging and Chaotic Motions in Forced Oscillations
cites work: Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
cites work: Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
cites work: Regular and stochastic motion
cites work: Q5508470
cites work: Stable and Random Motions in Dynamical Systems
cites work: Melnikov's method and averaging
cites work: Q5518129
cites work: Differentiable dynamical systems
cites work: Q5838030
cites work: Homoclinic points near elliptic fixed points
cites work: Q3957668
description: scientific article; zbMATH DE number 5784697