On inverse shadowing

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2 Citations (Scopus)
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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
JournalDynamical Systems
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

  • Mathematics(all)
  • Computer Science Applications

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