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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 271-281
- MSC: Primary 58F12; Secondary 58F20
- DOI: https://doi.org/10.1090/S0002-9939-1992-1086325-3
- MathSciNet review: 1086325