Minimal periodic orbits for continuous maps of the interval

Alsedà, Lluís; Llibre, Jaume; Serra, Rafel

doi:10.1090/S0002-9947-1984-0760976-5

Minimal periodic orbits for continuous maps of the interval
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by Lluís Alsedà, Jaume Llibre and Rafel Serra PDF

Trans. Amer. Math. Soc. 286 (1984), 595-627 Request permission

Abstract:

For continuous maps of the interval into itself, Sarkovskii’s Theorem gives the notion of minimal periodic orbit. We complete the characterization of the behavior of minimal periodic orbits. Also, we show for unimodal maps that the min-max essentially describes the behavior of minimal periodic orbits.

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