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On dynamical systems with 2-adic time (Q1048419)

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scientific article; zbMATH DE number 5655880
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English
On dynamical systems with 2-adic time
scientific article; zbMATH DE number 5655880

    Statements

    On dynamical systems with 2-adic time (English)
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    12 January 2010
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    The paper concerns with certain non-Archimedean structures related to discrete periodic dynamics. A general concept of dynamical system with non-Archimedean time is proposed and it is illustrated by a certain limit of the dynamics on the sets of \(2^n\)-periodic points of real quadratic maps and it is showed that for the typical example the dynamical systems admits two compatible descriptions: a classical description with discrete time and a description with 2-adic time.
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    non-Archimedean time
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    quadratic maps
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    discrete periodic dynamics
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