Weak stability of non-autonomous discrete dynamical systems
type: Item
instance of: scholarly article
title: Weak stability of non-autonomous discrete dynamical systems
zbMATH Open document ID: 1402.54033
author: Yao Yao Lan
author: A. Peris
published in: Topology and its Applications
publication date: 2018-11-07T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/147535
review text: In the context of non-autonomous dynamical systems (that is, systems defined by a sequence of independent continuous maps rather than the iterates of a single continuous map), a notion of weak stability is introduced. Non-autonomous systems arise naturally in settings where, for example, a map is perturbed at each iteration. It is shown here that the set of weakly stable points is residual, and the relationship between weak stability and shadowing of orbits is explored.
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 37B55
zbMATH DE Number: 6974651
zbMATH Keywords: weak stability
zbMATH Keywords: non-autonomous dynamical system
zbMATH Keywords: set-valued system
zbMATH Keywords: shadowing property
reviewed by: Thomas B. Ward
MaRDI profile type: Publication
OpenAlex ID: W2897861372
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Wikidata QID: Q129054451
DOI: 10.1016/J.TOPOL.2018.10.006
description: scientific article; zbMATH DE number 6974651