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
收藏
页码：479 / 496
页数：18
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