Periodicity of certain piecewise affine planar maps
نویسندگان
چکیده
In the past few decades, discontinuous piecewise affine maps have found considerable interest in the theory of dynamical systems. For an overview, we refer the reader to [1, 7, 12, 13, 17, 18], for particular instances to [29, 16, 25] (polygonal dual billiards), [15] (polygonal exchange transformations), [10, 31, 11, 8] (digital filters) and [19, 21, 22] (propagation of round-off errors in linear systems). The present paper deals with a conjecture on the periodicity of a certain kind of these maps:
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ورودعنوان ژورنال:
- CoRR
دوره abs/0704.3674 شماره
صفحات -
تاریخ انتشار 2007