Shadowing property of continuous maps

Tomáš Gedeon, Milan Kuchta

Source record

Source: Crossref

Published: May 1, 1992

DOI: 10.1090/s0002-9939-1992-1086325-3

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Source 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 {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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