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S-limit shadowing and a global description of Li-Yorke type chaos (2308.11163v1)
Published 22 Aug 2023 in math.DS
Abstract: For any continuous self-map of a compact metric space, we extend a partition of each chain component with respect to a chain proximal relation to a $G_\delta$-partition of the phase space. Under the assumption of s-limit shadowing, we use this partition to give a global description of Li-Yorke type chaos corresponding to several Furstenberg families.