Asymptotic estimates for two-dimensional area-preserving mappings
type: Item
instance of: scholarly article
title: Asymptotic estimates for two-dimensional area-preserving mappings
zbMATH Open document ID: 0595.58041
DOI: 10.1016/0167-2789(84)90133-7
author: E. Bogomolny
published in: Physica D
publication date: 1984-01-01T00:00:00Z
review text: Two-dimensional area preserving mappings are considered which admit a formal integral expanded into an asymptotic series. A method is suggested for calculating the monodromy matrix, and, in particular, its trace. Asymptotic estimates are given for large order coefficients in the perturbation series near periodic points of the system. Comparison is made with the Kolmogorov-Arnol'd-Moser theory.
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 26A18
zbMATH DE Number: 3958304
zbMATH Keywords: Two-dimensional area preserving mappings
zbMATH Keywords: monodromy matrix
zbMATH Keywords: perturbation series
zbMATH Keywords: Kolmogorov-Arnol'd-Moser theory
reviewed by: M. Farkas
MaRDI profile type: Publication
full work available at URL: 0167-2789(84)90133-7
OpenAlex ID: W2085582967
cites work: Q3232347
description: scientific article; zbMATH DE number 3958304