On inverse shadowing

Chris Good; Joel Mitchell; Joe Thomas

doi:10.1080/14689367.2020.1739228

On inverse shadowing

Chris Good, Joel Mitchell, Joe Thomas

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

360 Downloads (Pure)

Abstract

We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stronger than might initially seem. We give some implications of this reformulation, in particular showing that systems with inverse shadowing are not sensitive. Finally we show that, on compact spaces, inverse shadowing is equivalent to a finite version of it.

Original language	English
Pages (from-to)	539-547
Journal	Dynamical Systems
Volume	35
Issue number	3
Early online date	8 Mar 2020
DOIs	https://doi.org/10.1080/14689367.2020.1739228
Publication status	E-pub ahead of print - 8 Mar 2020

Keywords

37B05
37C50
54H20
Inverse shadowing
equicontinuity
minimality
pseudo-orbit
sensitivity

ASJC Scopus subject areas

General Mathematics
Computer Science Applications

Access to Document

10.1080/14689367.2020.1739228Licence: None: All rights reserved

Good_et_al_On_Inverse_Shadowing_Dynamical_Systems_2020
This is an Accepted Manuscript of an article published by Taylor & Francis in Dynamical Systems on 08/03/2020, available online: https://doi.org/10.1080/14689367.2020.1739228
Accepted author manuscript, 249 KBLicence: None: All rights reserved

Cite this

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KW - 54H20

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KW - equicontinuity

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KW - sensitivity

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On inverse shadowing

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this