Periodic points of some discontinuous maps

zbMath1347.26011MaRDI QIDQ317382

Satomi Murakami, Hiroki Ohwa

Publication date: 30 September 2016

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1468334490

zbMATH Keywords

iterationperiodic pointsdiscontinuous maps

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18)

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
• The Sharkovsky Theorem: A Natural Direct Proof
• Periodic Points of Some Discontinuous Mappings
• A Simple Proof of Sharkovsky's Theorem
• A Simple Proof of Sharkovsky's Theorem Revisited
• Periodic Points of Continuous Functions
• Sharkovskiĭ's theorem holds for some discontinuous functions

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