A characterization of chaotic functions with entropy zero via their maximal scrambled sets
Francisco Balibrea; Víctor Jiménez López
Mathematica Bohemica (1995)
- Volume: 120, Issue: 3, page 293-298
- ISSN: 0862-7959
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topBalibrea, Francisco, and Jiménez López, Víctor. "A characterization of chaotic functions with entropy zero via their maximal scrambled sets." Mathematica Bohemica 120.3 (1995): 293-298. <http://eudml.org/doc/247783>.
@article{Balibrea1995,
abstract = {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.},
author = {Balibrea, Francisco, Jiménez López, Víctor},
journal = {Mathematica Bohemica},
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},
language = {eng},
number = {3},
pages = {293-298},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A characterization of chaotic functions with entropy zero via their maximal scrambled sets},
url = {http://eudml.org/doc/247783},
volume = {120},
year = {1995},
}
TY - JOUR
AU - Balibrea, Francisco
AU - Jiménez López, Víctor
TI - A characterization of chaotic functions with entropy zero via their maximal scrambled sets
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 3
SP - 293
EP - 298
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/247783
ER -
References
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