Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set
type: Item
instance of: scholarly article
title: Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set
zbMATH Open document ID: 1394.37037
author: Grzegorz Graff
published in: Archiv der Mathematik
publication date: 2018-06-28T00:00:00Z
review text: The author determines all possible forms of the sequences of fixed point indices of iterates at \(0\), for diffeomorphisms in dimension two and three that admit \(\{0\}\) as an isolated invariant set. His method sheds some light on the problem of finding all possible forms of such indices for diffeomorphisms and non-injective maps in higher dimension.
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 37C05
zbMATH DE Number: 6897427
zbMATH Keywords: fixed point index
zbMATH Keywords: diffeomorphism
zbMATH Keywords: low-dimensional dynamics
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: s00013-018-1180-2
OpenAlex ID: W2801141369
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Wikidata QID: Q129974552
DOI: 10.1007/S00013-018-1180-2
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description: scientific article; zbMATH DE number 6897427