کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418073 | 1339320 | 2015 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Attractors of generalized IFSs that are not attractors of IFSs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Mihail and Miculescu introduced the notion of a generalized iterated function system (GIFS in short), and proved that every GIFS generates an attractor. (In our previous paper we gave this notion a more general setting.) In this paper we show that for any mâ¥2, there exists a Cantor subset of the plane which is an attractor of some GIFS of order m, but is not an attractor of a GIFS of order mâ1. In particular, this result shows that there is a subset of the plane which is an attractor of some GIFS, but is not an attractor of an IFS. We also give an example of a Cantor set which is not an attractor of a GIFS.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 99-108
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 99-108
نویسندگان
Filip Strobin,