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- W2775793406 abstract "We construct an infinite-dimensional compact metric space $X$, which is a closed subset of $mathbb{S}timesmathbb{H}$, where $mathbb{S}$ is the unit circle and $mathbb{H}$ is the Hilbert cube, and a skew-product map $F$ acting on $X$ such that $(X,F)$ is Li-Yorke sensitive but possesses at most countable scrambled sets. This disproves the conjecture of Akin and Kolyada that Li-Yorke sensitivity implies Li-Yorke chaos from the article [Akin E., Kolyada S., Li-Yorke sensitivity, Nonlinearity 16, (2003), 1421-1433]." @default.
- W2775793406 created "2017-12-22" @default.
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- W2775793406 date "2017-11-29" @default.
- W2775793406 modified "2023-09-27" @default.
- W2775793406 title "Li-Yorke sensitivity does not imply Li-Yorke chaos" @default.
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