Pseudo-orbit shadowing on the unit interval
type: Item
instance of: scholarly article
title: Pseudo-orbit shadowing on the unit interval
zbMATH Open document ID: 0726.58028
author: N. E. Zubov
published in: Real Analysis Exchange
publication date: 1991-01-01T00:00:00Z
review text: The notions of pseudo-orbit and of shadowing are used to transpose to discrete dynamic systems a part of the stability theory of continuous dynamic systems in the presence of constantly acting perturbations. The perturbations considered indirectly are truncation and rounding errors in numerical computations. An `orbit'-`pseudo-orbit' closeness condition is given for a one-dimensional system defined by a nondecreasing continuous function defined inside a unit interval.
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 37E99
Mathematics Subject Classification ID: 34D99
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 4199087
zbMATH Keywords: pseudo-orbit
zbMATH Keywords: shadowing
zbMATH Keywords: discrete dynamic systems
zbMATH Keywords: stability
zbMATH Keywords: continuous dynamic systems
zbMATH Keywords: constantly acting perturbations
reviewed by: Igor Gumowski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4199087