A collection of simple proofs of Sharkovsky's theorem
Dynamical Systems
2007-09-09 v3
Abstract
Based on various strategies, we obtain several simple proofs of the celebrated Sharkovsky cycle coexistence theorem.
Cite
@article{arxiv.math/0703592,
title = {A collection of simple proofs of Sharkovsky's theorem},
author = {Bau-Sen Du},
journal= {arXiv preprint arXiv:math/0703592},
year = {2007}
}
Comments
20 pages. New proofs involving Stefan cycles are included in sections 8 and 9. New proofs of (a) and (c) are included in sections 11 and 12