A Simple Proof of Sharkovsky's Theorem Rerevisited

Details A Simple Proof of Sharkovsky's Theorem Rerevisited A Simple Proof of Sharkovsky's Theorem Rerevisited

2007-11-25

arxiv.org/abs/0711.3892v7

Mathematics

Dynamical Systems

25 pages, 5 figures, In this revision, we include some preliminary results in section 2 to make this note more self-contained.

Scientific paper

Based on various strategies and three new doubling operators, we obtain
several simple proofs of the celebrated Sharkovsky's cycle coexistence theorem.
A simple non-directed graph proof which is especially suitable for a calculus
course right after the introduction of Intermediate Value Theorem is also given
(in section 3).

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