Self-similar example of a piecewise isometric attractor

被引：0

作者：

Goetz, A ^{[1
]}

机构：

[1] San Francisco State Univ, Dept Math, San Francisco, CA 94132 USA

来源：

DYNAMICAL SYSTEMS: FROM CRYSTAL TO CHAOS | 2000年

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an attracting piecewise rotation with two atoms with a self similar structure of periodic domains on its attractor which resembles Sierpiriski's gasket. Besides its natural beauty, this example appears a return map in certain piecewise affine maps on the torus which have been studied by Adler, Kitchens, and Tresser, and by a number of other researchers advancing the theory of digital filters.

引用

页码：248 / 258

页数：11

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