Non-wandering sets of the powers of maps of the interval-Reference-Cited by-同舟云学术

Non-wandering sets of the powers of maps of the interval

Published:1981-03 Issue:1 Volume:1 Page:9-31
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Coven Ethan M.,Nitecki Zbigniew

Abstract

AbstractWe show that, for maps of the interval, the non-wandering set of the map coincides with the non-wandering set of each of its odd powers, while the nonwandering set of any of its even powers can be strictly smaller.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

1. Prolongations and stability in dynamical systems

2. Periodic and limit orbits and the depth of the center for piecewise monotone interval maps

3. Powers of homeomorphisms with almost periodic properties

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