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arXiv:1603.06905 [math.DS]AbstractReferencesReviewsResources

Topological conjugation of one dimensional maps

Makar Plakhotnyk

Published 2016-03-22Version 1

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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