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    Function Dynamics

    Y.Takahashi, N.Kataoka, K.Kaneko, T.Namiki  ·  Published 2001-07-12
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    Abstract

    We show mathematical structure of the function dynamics, i.e., the dynamics of interval maps $f_{n+1} = (1-\e)f_n + \e f_n\circ f_n$ and clarify the types of fixed points, the self-referential structure and the hierarchical structure.

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