Non-wandering sets of the powers of maps of the interval
- 1 March 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 1 (1) , 9-31
- https://doi.org/10.1017/s0143385700001139
Abstract
We 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.Keywords
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