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Keywords:
chaos in the sense of Li and Yorke; maximal scrambled sets; topological entropy; chaotic functions; scrambled sets
chaos in the sense of Li and Yorke; maximal scrambled sets; topological entropy; chaotic functions; scrambled sets
Summary:
In this note we characterize chaotic functions (in the sense of Li and Yorke) with topological entropy zero in terms of the structure of their maximal scrambled sets. In the interim a description of all maximal scrambled sets of these functions is also found.
References:
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