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arXiv · 1205.6859

On $n$-scrambled tuples and distributional chaos in a sequence

Jian Li·Piotr Oprocha
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Abstract

The main aim of the present paper is to study relations between $n$-scrambled tuples and their attraction-adherence properties with respect to various sequences of integers. This extends previous research on relations between chaos in the sense of Li and Yorke and distributional chaos with respect to a given sequence. Moreover, we construct a system which is $n$-distributionally chaotic but not $(n+1)$-chaotic.

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Jian Li, Piotr Oprocha. 2012-05-31. On $n$-scrambled tuples and distributional chaos in a sequence. https://doi.org/10.1080/10236198.2012.700307

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