A Self-similar Example of a Piecewise Isometric Attractor
نویسنده
چکیده
We describe an attracting piecewise rotation with two atoms with a self-similar structure of periodic domains on its attractor which resembles Sierpi nski's gasket. Besides its natural beauty, this example appears a return map in certain piecewise aane 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 lters.
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تاریخ انتشار 2007