Abstract
A definition of chaos in the sense of Li-Yorke is given for an action of a group on a uniform space, and it is shown that if a continuous action of an Abelian group G on a second countable Baire Hausdorff uniform space X without isolated points is chaotic in the sense of Devaney, then it is also chaotic in the sense of Li-Yorke.
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Arai, T. Devaney’s and Li-Yorke’s Chaos in Uniform Spaces. J Dyn Control Syst 24, 93–100 (2018). https://doi.org/10.1007/s10883-017-9360-0
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DOI: https://doi.org/10.1007/s10883-017-9360-0