Preservation of shadowing in discrete dynamical systems

Chris Good, Joel Mitchell, Joe Thomas

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
167 Downloads (Pure)

Abstract

We look at the preservation of various notions of shadowing in discrete dynamical systems under inverse limits, products, factor maps and the induced maps for symmetric products and hyperspaces. The shadowing properties we consider are the following: shadowing, h-shadowing, eventual shadowing, orbital shadowing, strong orbital shadowing, the first and second weak shadowing properties, limit shadowing, s-limit shadowing, orbital limit shadowing and inverse shadowing.
Original languageEnglish
Article number123767
Pages (from-to)1-39
Number of pages39
JournalJournal of Mathematical Analysis and Applications
Volume485
Issue number1
Early online date13 Dec 2019
DOIs
Publication statusPublished - 1 May 2020

Keywords

  • factor map
  • hyperspace
  • inverse limit
  • product space
  • semi-conjugacy
  • shadowing

ASJC Scopus subject areas

  • General Mathematics

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