کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154396 1462578 2019 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Separation properties of finite products of hyperbolic iterated function systems
ترجمه فارسی عنوان
خصوصیات جداسازی محصولات محدود از سیستم های تکرار هذلولی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
Fractal theory is the study of irregularity which occurs in natural objects. It also enables us to see patterns in the highly complex and unpredictable structures resulting from many natural phenomena, using self-similarity property. The most common mathematical method to generate self-similar fractals is using an iterated function system (IFS). This paper discusses separation properties of finite products of hyperbolic IFSs. Characterizations for totally disconnected and overlapping product IFSs are obtained. A method to generate an open set which satisfies the open set condition for a totally disconnected IFS is given. Some necessary and sufficient conditions for a product IFS to be just touching are discussed. Also, Type 1 homogenous IFSs are introduced and its separation properties in terms of the separation properties of coordinate projections are explained towards the end.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 594-599
نویسندگان
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