Shadowing property of continuous maps

Gedeon, Tomáš; Kuchta, Milan

doi:10.1090/S0002-9939-1992-1086325-3

Shadowing property of continuous maps
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by Tomáš Gedeon and Milan Kuchta PDF

Proc. Amer. Math. Soc. 115 (1992), 271-281 Request permission

Abstract:

We study continuous maps of an interval into itself. We find the necessary and sufficient condition for the maps of the type ${2^n}$ to have the shadowing property. Further we show that any chaotic map, which has only cycles of order a power of 2, does not have the shadowing property.

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