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- W4285202118 abstract "<abstract><p>In this paper, we investigate mean Li-Yorke chaos along some sequence and Li-Yorke chaos for cookie-cutter systems. By applying bounded distortion and a locally $ alpha $-H$ ddot{rm{o}} $lder condition, we show that the cookie-cutter set contains a mean Li-Yorke scrambled set along some sequence in which the Hausdorff dimension equals the Hausdorff dimension of the cookie-cutter set. That is to say, a cookie-cutter system is mean Li-Yorke chaotic along some sequence. Meanwhile, we proved that every mean Li-Yorke scrambled set is also a scrambled set; hence a cookie-cutter system is also Li-Yorke chaotic.</p></abstract>" @default.
- W4285202118 created "2022-07-14" @default.
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- W4285202118 date "2022-01-01" @default.
- W4285202118 modified "2023-09-27" @default.
- W4285202118 title "Li-Yorke chaotic property of cookie-cutter systems" @default.
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- W4285202118 doi "https://doi.org/10.3934/math.2022727" @default.
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