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Preservation of shadowing in discrete dynamical systems

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Abstract We look at the preservation of various notions of shadowing in discrete dynamical systems under inverse limits, products, factor maps and the induced maps for symmetric products and hyperspaces.… Click to show full abstract

Abstract We look at the preservation of various notions of shadowing in discrete dynamical systems under inverse limits, products, factor maps and the induced maps for symmetric products and hyperspaces. The shadowing properties we consider are the following: shadowing, h-shadowing, eventual shadowing, orbital shadowing, strong orbital shadowing, the first and second weak shadowing properties, limit shadowing, s-limit shadowing, orbital limit shadowing and inverse shadowing.

Keywords: preservation shadowing; discrete dynamical; dynamical systems; shadowing discrete; limit shadowing

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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