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In this paper, four kinds of shadowing properties in non-autonomous discrete dynamical systems (NDDSs) are discussed. It is pointed out that if an NDDS has a F-shadowing property (resp. ergodic… Click to show full abstract
In this paper, four kinds of shadowing properties in non-autonomous discrete dynamical systems (NDDSs) are discussed. It is pointed out that if an NDDS has a F-shadowing property (resp. ergodic shadowing property, d¯ shadowing property, d_ shadowing property), then the compound systems, conjugate systems, and product systems all have accordant shadowing properties. Moreover, the set-valued system (K(X),f¯1,∞) induced by the NDDS (X,f1,∞) has the above four shadowing properties, implying that the NDDS (X,f1,∞) has these properties.
Journal Title: Entropy
Year Published: 2022
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