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.
Citation
Roberta Fabbri. Tobias Jäger. Russell Johnson. Gerhard Keller. "A Sharkovskii-type theorem for minimally forced interval maps." Topol. Methods Nonlinear Anal. 26 (1) 163 - 188, 2005.
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