Robustness of periodic point free maps of the annulus
type: Item
instance of: scholarly article
title: Robustness of periodic point free maps of the annulus
zbMATH Open document ID: 0858.58038
DOI: 10.1016/0166-8641(95)00108-5
author: Glen R. Hall
author: Mark Turpin
published in: Topology and its Applications
publication date: 1997-03-11T00:00:00Z
review text: This paper focuses on the construction of a diffeomorphism of the annulus into itself with no periodic points which has the property that, when composed with any sufficiently small rigid rotation, the resulting map also has no periodic points. This result imposes some limitations on strengthening the \(C^1\)-closing lemma of Pugh and Robinson even in the case of a simple topology in two dimensions.
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 896595
zbMATH Keywords: periodic orbits
zbMATH Keywords: closing lemma
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
full work available at URL: 0166-8641(95)00108-5
OpenAlex ID: W2065385905
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Wikidata QID: Q127646480
description: scientific article; zbMATH DE number 896595