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2016 Intervals Containing All the Periodic Points
M. Archana, V. Kannan
Real Anal. Exchange 41(2): 263-270 (2016).

Abstract

For any map $f$ from $\mathbb{R}$ to $\mathbb{R}$, if an interval $J$ contains all periodic points of period 1 and 2, then $f(f(J))$ contains all periodic points (and therefore contains the centre of $f$).

Citation

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M. Archana. V. Kannan. "Intervals Containing All the Periodic Points." Real Anal. Exchange 41 (2) 263 - 270, 2016.

Information

Published: 2016
First available in Project Euclid: 30 March 2017

zbMATH: 06848927
MathSciNet: MR3597319

Subjects:
Primary: 37E05, ‎54C30
Secondary: 37C25

Rights: Copyright © 2016 Michigan State University Press

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Vol.41 • No. 2 • 2016
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