Generalizations of Gordon theorem
type: Item
instance of: scholarly article
title: Generalizations of Gordon theorem
zbMATH Open document ID: 1019.37035
published in: Regular and Chaotic Dynamics
publication date: 2003-02-24T00:00:00Z
review text: The Gordon theorem reads that if all trajectories of an autonomous Hamiltonian system are periodic and locally define a trivial foliation of the phase space then, in some neighborhood of any trajectory of the system, the period and the action function are the functions of the Hamiltonian only, see [\textit{B. W. Gordon}, J. Math. Mech. 19, 111-114 (1969; Zbl 0179.42004)]. The author generalizes this theorem for the case when some invariant submanifold of the phase space is foliated into isotropic invariant tori.
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 1873403
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: action-angle variables
zbMATH Keywords: isotropic tori
author: N. N. Nekhoroshev
reviewed by: I. A. Taimanov
MaRDI profile type: Publication
full work available at URL: rd2002v007n03abeh000207
OpenAlex ID: W4242439591
DOI: 10.1070/RD2002V007N03ABEH000207
description: scientific article; zbMATH DE number 1873403