Periodic points and chaotic functions in the unit interval

17 April 1978

journal article
research article
Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society

Vol. 18 (2) , 255-265
https://doi.org/10.1017/s0004972700008066

Abstract

It is shown that the set of chaotic self-maps of the unit interval contains an open dense subset of the space of all continuous self-maps of the unit interval. Other aspects of chaotic behaviour are also considered together with some illustrative examples.

Keywords

CHAOTIC FUNCTIONS
ILLUSTRATIVE
UNIT INTERVAL
POINTS AND CHAOTIC
PERIODIC POINTS
INTERVAL CONTAINS
OPEN DENSE

This publication has 1 reference indexed in Scilit:

Period Three Implies Chaos
The American Mathematical Monthly, 1975