Ergodic Theory and Dynamical Systems



New order for periodic orbits of interval maps


ALEXANDER BLOKH a1 and MICHAL MISIUREWICZ a2
a1 Department of Mathematics, University of Alabama in Birmingham, University Station, Birmingham, AL 35294-2060, USA (e-mail: ablokh@math.uab.edu)
a2 Department of Mathematical Sciences, IUPUI, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA (e-mail: mmisiure@math.iupui.edu)

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.

(Received January 6 1995)
(Revised December 1 1995)



Footnotes

The second author was partially supported by the NSF grant DMS-9305899.