A collection of simple proofs of Sharkovsky's theorem

2007/03/20 by Bau-Sen Du, Du, Bau-Sen · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #37E05 #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Dynamics and Pattern Formation #math.DS #msc:37E05

paper · pdf · doi:10.48550/arxiv.math/0703592

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

openalex publication_date 2007/03/20 · arxiv created 2007/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• A Simple Proof of Sharkovsky's Theorem Rerevisited

Related

• A Simple Proof of Sharkovsky's Theorem Rerevisited
• More simple proofs of Sharkovsky's theorem
• The Sharkovsky Theorem
• A Simple Proof of Sharkovsky's Theorem Revisited
• Sharkovsky's Theorem and one-dimensional combinatorial dynamics