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

Published online by Cambridge University Press:  19 September 2008

Ethan M. Coven  and
Zbigniew Nitecki
Ethan M. Coven*
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, Conn.
Zbigniew Nitecki
Affiliation:
Department of Mathematics, Tufts University, Medford, Mass.
*
†Ethan M. Coven, Department of Mathematics, Wesleyan University, Middletown, Conn. 06457, USA.
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 1 , March 1981 , pp. 9 - 31
Copyright
Copyright © Cambridge University Press 1981

References

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