Geodesic
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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MR Zbl
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.
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 
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
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