On inverse shadowing

Chris Good, Joel Mitchell, Joe Thomas

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
307 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 languageEnglish
Pages (from-to)539-547
JournalDynamical Systems
Volume35
Issue number3
Early online date8 Mar 2020
DOIs
Publication statusE-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

Fingerprint

Dive into the research topics of 'On inverse shadowing'. Together they form a unique fingerprint.

Cite this