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arXiv · 1201.3583

Sharkovsky's Theorem and one-dimensional combinatorial dynamics

Chris Bernhardt
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Abstract

A proof of Sharkovsky's Theorem is given. It is shown how this proof naturally generalizes to looking at maps on graphs and to Sharkovsky-type theorems for these maps. The paper is written at an elementary level and is meant as an introduction to one-dimensional combinatorial dynamics.

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Chris Bernhardt. 2012-01-17. Sharkovsky's Theorem and one-dimensional combinatorial dynamics. https://arxiv.org/abs/1201.3583

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