On Dynamical Systems with 2-adic Time
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 101-109

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A general concept of dynamical system with nonarchimedean time is suggested. It is illustrated by a certain limit of the dynamics on the sets of $2^n$-periodic points of real quadratic maps.
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     author = {V. Dremov and G. Shabat and P. Vytnova},
     title = {On {Dynamical} {Systems} with 2-adic {Time}},
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V. Dremov; G. Shabat; P. Vytnova. On Dynamical Systems with 2-adic Time. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 101-109. http://geodesic.mathdoc.fr/item/TM_2009_265_a7/