On generalization of Sierpiński gasket in Lobachevskii plane

被引：1
|
作者：
Troshin P.I. [1 ]
机构：
[1] Kazan (Volga Region) Federal University, ul. Kremlevskaya 35, Kazan
来源：
Lobachevskii Journal of Mathematics | 2017年 / 38卷 / 4期
关键词：
iterated function system; Lobachevskii space; Mandelbrot set; Sierpiński gasket;
D O I：
10.1134/S1995080217040205
中图分类号：
学科分类号：
摘要：
We construct an analogue of Sierpiński gasket in Lobachevskii plane by means of iterated function system with maps from a transformation group of this space. The investigation of a new family of attractors and a Mandelbrot set associated with it reveals higher capacity of Lobachevskii geometry compared to that of Euclid. © 2017, Pleiades Publishing, Ltd.
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收藏
页码：751 / 762
页数：11
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