Ergodic Theory and Dynamical Systems

Research Article

Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval

A. M. Blokha1

a1 Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294–2060, USA

Abstract

We introduce rotation numbers and pairs characterizing cyclic patterns on an interval and a special order among them; then we prove the theorem which specializes the Sharkovskii theorem in this setting.

(Received April 10 1993)

(Revised November 08 1993)