The Asymptotic Average Shadowing Property of Iterated Function Systems
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DOI: 10.1007/s40840-021-01184-x
Abstract: In this paper, we explore the asymptotic average shadowing property of iterated function systems. We show that for an iterated function system IFS $$(\mathscr {F})$$ such that one of $$\mathscr {F}$$ is surjective, the pseudo-orbital… read more here.
Keywords: average shadowing; iterated function; shadowing property; asymptotic average ... See more keywords
Chain Mixing, Shadowing Properties and Multi-transitivity
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DOI: 10.1007/s41980-019-00218-2
Abstract: We prove that a map f is chain mixing if and only if $$f^r\times f^s$$fr×fs is chain transitive for some positive integers r, s. We prove that a map which has the average shadowing property with… read more here.
Keywords: mixing shadowing; chain; average shadowing; shadowing property ... See more keywords