مشخصات پژوهش

صفحه نخست /Sensitivity of iterated ...
عنوان Sensitivity of iterated function systems
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Iterated function systems Minimality Transitivity Weak topologically exact Equicontinuity Sensitivity
چکیده 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.
پژوهشگران فاطمه قانع (نفر اول)، رضاعلی (نفر دوم)، سید علی اصغر ساری زاده (نفر سوم)