Stability of a parabolic fixed point of reversible mappings
type: Item
instance of: scholarly article
title: Stability of a parabolic fixed point of reversible mappings
zbMATH Open document ID: 0815.58012
author: Bin Liu
author: Jiangong You
published in: Chinese Annals of Mathematics. Series B
publication date: 1994-09-19T00:00:00Z
review text: A fixed point of a reversible mapping of the plane is parabolic if both eigenvalues of its linearization are 1. By KAM theory, sufficient conditions for the existence of closed invariant curves, and thereby stability of the fixed point, are established. Finite and infinite fixed points are dealt with separately.
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 37A30
zbMATH DE Number: 640433
zbMATH Keywords: KAM theory
zbMATH Keywords: closed invariant curves
reviewed by: Dieter Erle
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640433