Sharkovsky's Theorem and one-dimensional combinatorial dynamics

Details Sharkovsky's Theorem and one-dimensional combinatorial dynamics Sharkovsky's Theorem and one-dimensional combinatorial dynamics

2012-01-17

arxiv.org/abs/1201.3583v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

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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