Stirring our way to Sharkovsky's theorem

DOI10.1017/S0004972700031245zbMath0929.37010MaRDI QIDQ4380519

Seth Patinkin

Publication date: 1 February 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

intermediate value theorem\(n\)-cycleSharkovskij's theoremstirring point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Cites Work

• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• Interval mapping graphs and periodic points of continuous functions
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Periods of Periodic Points of Maps of the Circle which Have a Fixed Point

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