SOME REMARKS CONCERNING THE ATTRACTORS OF ITERATED FUNCTION SYSTEMS

被引：1

作者：

Dumitru, Dan ^{[1
]}

Mihail, Alexandru ^{[2
]}

机构：

[1] Spiru Haret Univ Bucharest, Dept Math & Comp Sci, 13 Ghica Str, Bucharest, Romania

[2] Univ Bucharest, Dept Math & Comp Sci, Bucharest, Romania

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2014年 / 44卷 / 02期

关键词：

Attractor; iterated function system; dendrite; FRACTALS;

D O I：

10.1216/RMJ-2014-44-2-479

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to establish some conditions under which the attractors of iterated function systems become dendrites. We associate to an attractor of an iterated function system a graph and we prove that, for a large class of iterated function systems, their attractors are dendrites if and only if the associated graph is a tree. We also give some examples of such sets.

引用

页码：479 / 496

页数：18

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