On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow
type: Item
instance of: scholarly article
title: On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow
zbMATH Open document ID: 0931.37030
published in: Russian Journal of Mathematical Physics
publication date: 1998-10-05T00:00:00Z
review text: The main aim of the paper is the study of perturbations of integrable diffeomorphisms. The author presents a rigorous proof of the fact, that in the real-analytic category, the study of perturbations of integrable diffeomorphisms is equivalent to the study of perturbations of integrable vector fields. This allows the author to reduce the study of higher iterations of such symplectomorphisms (i.e. symplectic structure preserving diffeomorphisms) to the asymptotic study of trajectories for almost integrable Hamiltonian vector fields.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K65
Mathematics Subject Classification ID: 37K55
zbMATH DE Number: 1206177
zbMATH Keywords: perturbations of integrable diffeomorphisms
zbMATH Keywords: real-analytic category
zbMATH Keywords: symplectomorphisms
zbMATH Keywords: almost integrable Hamiltonian vector fields
author: Sergei Kuksin
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1206177