Dynamics of f ( x ) = x + x − 1 via Elliptic Curves
نویسندگان
چکیده
Understanding the dynamics of nonlinear maps is an important but difficult problem, and there are not many methods available. In this paper, we study the dynamics of a simple function, f(x) = x + x−1, on fields of characteristic two and provide explicit information about structure of it. The main idea is to lift it to the dynamics of an isogeny on an elliptic curve and study the dynamics of the isogeny.
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تاریخ انتشار 2011