SHADOWING PROPERTY FOR INDUCED SET-VALUED DYNAMICAL SYSTEMS OF SOME EXPANSIVE MAPS

TitleSHADOWING PROPERTY FOR INDUCED SET-VALUED DYNAMICAL SYSTEMS OF SOME EXPANSIVE MAPS
Publication TypeJournal Article
Year of Publication2010
AuthorsWU YUHU, XUE XIAOPING
JournalDynamic Systems and Applications
Volume19
Start Page405
Pagination10
Date Published2010
ISSN1056-2176
AMS Subject Classification28B20, 37C15, 37F15
Abstract

In this paper, we study the shadowing property for induced set-valued dynamical systems of some expansive maps. We show that if f is a positively expansive open map, then the induced map F has shadowing property. We introduce the notion of ball expansive maps, and show that such maps have shadowing property.
PDFhttps://acadsol.eu/dsa/articles/19/29-DSA-30-02.pdf
Refereed DesignationRefereed