Relations between Shadowing and Inverse Shadowing in Dynamical Systems

In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a compact space. We present an example of a smooth diffeomorphism of a compact three-dimensional manifold that has the shadowing property and does not have the inverse shadowing property. For some classes...

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Bibliographic Details
Main Author: Alexey A. Petrov
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/8/1/11