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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Attractors of generalized IFSs that are not attractors of IFSs
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 m≥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 m−1. 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
نویسندگان
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