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Topological conjugation of one dimensional maps (1603.06905v1)
Published 22 Mar 2016 in math.DS
Abstract: Topological conjugateness of one dimensional unimodal dynamical systems, which are generated by interval [0, 1] into itself maps are studied. We study the smoothness and differentiability of the conjugacy of symmetrical and non-symmetrical tent maps. Also weprove the extremal property of the length of the graph of the conjugacy of symmetrical and non-symmetrical tent maps.
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