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
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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.
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页码：248 / 258
页数：11
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