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math.DSMar 1, 2007
9
citations (OpenAlex)
authors
  • Bau-Sen Du
arXiv abstractPDF
paper

A collection of simple proofs of Sharkovsky's theorem

arXiv:math/0703592

Abstract

Based on various strategies, we obtain several simple proofs of the celebrated Sharkovsky cycle coexistence theorem.

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

Cited by in corpus (2)

  • Generalized iteration, catastrophes and generalized Sharkovsky's ordering
  • A Simple Proof of Sharkovsky's Theorem Rerevisited
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