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arXiv 1907.024462019-07-13math.DS

Preservation of shadowing in discrete dynamical systems

Chris Good, Joel Mitchell, Joe Thomas

备注：: 39 pages
发表信息：: J. Math. Anal. Appl. 485 (2020) no. 1
DOI：: 10.1016/j.jmaa.2019.123767

英文摘要：

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.

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