Integration of Hamiltonian systems on an isolated isoenergetic surface
type: Item
instance of: scholarly article
title: Integration of Hamiltonian systems on an isolated isoenergetic surface
zbMATH Open document ID: 0734.58020
DOI: 10.1007/BF01156594
author: G. G. Okuneva
published in: Mathematical Notes
publication date: 1991-01-01T00:00:00Z
review text: In analytical dynamics, natural Hamiltonian systems, in particular, describing the motion of a rigid body in different fields of acting force, are integrable usually either on all isoenergetic surfaces or on none of them. The present paper proves the following theorem: There exists a class of 2-dimensional Hamiltonian systems which are non- integrable globally, but integrable on some particular 3-dimensional regular isoenergetic surface.
reviewed by: Zhongheng Guo
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4214981
zbMATH Keywords: integrable on isoenergetic surface
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: non-integrable globally
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4214981