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New order for periodic orbits of interval maps

Published online by Cambridge University Press:  01 June 1997

ALEXANDER BLOKH  and
MICHAŁ MISIUREWICZ
ALEXANDER BLOKH
Affiliation:
Department of Mathematics, University of Alabama in Birmingham, University Station, Birmingham, AL 35294-2060, USA (e-mail: ablokh@math.uab.edu)
MICHAŁ MISIUREWICZ
Affiliation:
Department of Mathematical Sciences, IUPUI, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA (e-mail: mmisiure@math.iupui.edu)
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Abstract

We propose a new classification of periodic orbits of interval maps via over-rotation pairs. We prove a theorem for them similar to the Sharkovskii theorem.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 3 , June 1997 , pp. 565 - 574
Copyright
1997 Cambridge University Press

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