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- W2743000005 abstract "Let [Formula: see text] be a compact metric space and [Formula: see text] be an [Formula: see text]-tuple of continuous selfmaps on [Formula: see text]. This paper investigates Hausdorff metric Li–Yorke chaos, distributional chaos and distributional chaos in a sequence from a set-valued view. On the basis of this research, we draw the main conclusions as follows: (i) If [Formula: see text] has a distributionally chaotic pair, especially [Formula: see text] is distributionally chaotic, the strongly nonwandering set [Formula: see text] contains at least two points. (ii) We give a sufficient condition for [Formula: see text] to be distributionally chaotic in a sequence and chaotic in the strong sense of Li–Yorke. Finally, an example to verify (ii) is given." @default.
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- W2743000005 date "2017-07-01" @default.
- W2743000005 modified "2023-09-26" @default.
- W2743000005 title "Chaos to Multiple Mappings" @default.
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- W2743000005 doi "https://doi.org/10.1142/s021812741750119x" @default.
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