Abstract
We prove that if $f$ is a continuous interval map such that all wandering intervals converge to periodic orbits, then the family of periodic orbits is dense in $\omega$-limit sets with Hausdorff metric.
Citation
Alexander Blokh. "Density of Periodic Orbits in ω-Limit Sets with the Hausdorff Metric." Real Anal. Exchange 24 (2) 503 - 522, 1998/1999.
Information
Published: 1998/1999
First available in Project Euclid: 28 September 2010
zbMATH: 0962.54031
MathSciNet: MR1704731
Subjects:
Primary:
54H20
Keywords:
Hausdorff metric
,
interval maps
,
Periodic points
,
ω-limit sets
Rights: Copyright © 1999 Michigan State University Press
