A Sharkovskii-type theorem for minimally forced interval maps

Roberta Fabbri, Tobias Jäger, Russell Johnson, Gerhard Keller

DOI: http://dx.doi.org/10.12775/TMNA.2005.029

Abstract


We state and prove a version of Sharkovskiǐ's theorem for forced interval
maps in which the forcing flow is minimal (Birkhoff recurrent). This setup
includes quasiperiodically forced interval maps as a special case. We find
that it is natural to substitute the concept of ``fixed point'' with that
of ``core strip.'' Core strips are frequently of almost automorphic type.

Keywords


Sharkovskiĭ theorem; almost automorphic set; core

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