Preservation of shadowing in discrete dynamical systems

Research output: Contribution to journalArticle

Authors

Colleges, School and Institutes

External organisations

  • University of Manchester

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.

Details

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
Publication statusPublished - 1 May 2020

Keywords

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

ASJC Scopus subject areas