A Sharkovskii-type theorem for minimally forced interval maps

Authors

  • Roberta Fabbri
  • Tobias Jäger
  • Russell Johnson
  • Gerhard Keller

Keywords

Sharkovskiĭ theorem, almost automorphic set, core

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.

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Published

2005-09-01

How to Cite

1.
FABBRI, Roberta, JÄGER, Tobias, JOHNSON, Russell and KELLER, Gerhard. A Sharkovskii-type theorem for minimally forced interval maps. Topological Methods in Nonlinear Analysis. Online. 1 September 2005. Vol. 26, no. 1, pp. 163 - 188. [Accessed 1 July 2025].

Issue

Vol 26, No 1 (September 2005)

Section

Articles

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