A characterization of chaotic functions with entropy zero via their maximal scrambled sets
Mathematica Bohemica, Tome 120 (1995) no. 3, pp. 293-298.

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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.
DOI : 10.21136/MB.1995.126005
Classification : 26A18, 37D45, 54H20, 58F13
Keywords: chaos in the sense of Li and Yorke; maximal scrambled sets; topological entropy; chaotic functions; scrambled sets
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Balibrea, Francisco; Jiménez López, Víctor. A characterization of chaotic functions with entropy zero via their maximal scrambled sets. Mathematica Bohemica, Tome 120 (1995) no. 3, pp. 293-298. doi : 10.21136/MB.1995.126005. http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126005/

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