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arXiv · 1603.06905

Topological conjugation of one dimensional maps

Makar Plakhotnyk
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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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Makar Plakhotnyk. 2016-03-22. Topological conjugation of one dimensional maps. https://arxiv.org/abs/1603.06905

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