## Real Analysis Exchange

### Intervals Containing All the Periodic Points

#### 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 $f$).

#### Article information

Source
Real Anal. Exchange, Volume 41, Number 2 (2016), 263-270.

Dates
First available in Project Euclid: 30 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.rae/1490839329

Mathematical Reviews number (MathSciNet)
MR3597319

Zentralblatt MATH identifier
06848927

Keywords
Periodic points period convex hull

#### Citation

Archana, M.; Kannan, V. Intervals Containing All the Periodic Points. Real Anal. Exchange 41 (2016), no. 2, 263--270. https://projecteuclid.org/euclid.rae/1490839329