2025 : 9 : 29

Aliasghar Sarizadeh

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Basic Science
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Research

Title
Sensitivity of iterated function systems
Type
JournalPaper
Keywords
Iterated function systems Minimality Transitivity Weak topologically exact Equicontinuity Sensitivity
Year
2019
Journal JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
DOI
Researchers F. H. Ghane ، E. Rezaali ، Aliasghar Sarizadeh

Abstract

The present work is concerned with the equicontinuityand sensitivity of iterated function systems (IFSs). Here, we consider more general case of IFSs, i.e. the IFSs generated by a family of relations. We generalize the concepts of transitivity, sensitivity and equicontinuity to these kinds of systems. This note investigates the relationships between these concepts. Then, several sufficient conditions for sensitivity of IFSs are presented. We introduce the notion of weak topologically exact for IFSs generated by a family of relations. It is proved that non-minimal weak topologically exact IFSs are sensitive. That yields to different examples of non-minimal sensitive systems which are not an M-system. Moreover, some interesting examples are given which provide some facts about the sensitive property of IFSs.