Stable and non-stable non-chaotic maps of the interval

Tomáš Gedeon

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 4, page 379-391
  • ISSN: 0139-9918

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Gedeon, Tomáš. "Stable and non-stable non-chaotic maps of the interval." Mathematica Slovaca 41.4 (1991): 379-391. <http://eudml.org/doc/31913>.

@article{Gedeon1991,
author = {Gedeon, Tomáš},
journal = {Mathematica Slovaca},
keywords = {interval; non-chaotic non-stable map; monotonic function; zero topological entropy},
language = {eng},
number = {4},
pages = {379-391},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Stable and non-stable non-chaotic maps of the interval},
url = {http://eudml.org/doc/31913},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Gedeon, Tomáš
TI - Stable and non-stable non-chaotic maps of the interval
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 4
SP - 379
EP - 391
LA - eng
KW - interval; non-chaotic non-stable map; monotonic function; zero topological entropy
UR - http://eudml.org/doc/31913
ER -

References

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  5. JANKOVÁ K., SMÍTAL J., A Theorem of Sarkovskii characterizing continuous map with zero topological entropy, Math. Slovaca (To appear). MR1016343
  6. PREISS D., SMÍTAL J., A characterization of non-chaotic continuous mappings of the interval stable under small perturbations, Trans. Am. Math. Soc. (To appear). MR0997677
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  8. SMÍTAL J., A chaotic function with scrambled set of positive Lebesque measure, Proc. Am. Math. Soc. 92 (1984), 50-54. (1984) MR0749888
  9. ŠARKOVSKII A. N., The behaviour of a map in a neighbourhood of an attracting set, (Russian), Ukrain. Math. Zh. 18 (1966), 60-83. (1966) MR0212784
  10. ŠARKOVSKII A. N., Attracting sets containing no cycles, (Russian), Ukr. Math. Zh. 20 (1968), 136-142. (1968) MR0225314
  11. ŠARKOVSKII A. N., On cycles and structure of continuous mappings, (Russian), Ukr. Math. Zh. 17 (1965), 104-111. (1965) MR0186757
  12. ŠARKOVSKII A. N., A mapping with zero topological entropy having continuum minimal Cantor sets, (Russian), In: Dynamical Systems and Turbulence. Kiev, 1989, pp. 109-115. (1989) 
  13. van STRIEN S. J., Smooth dynamics on the interval, Preprint (1987). (1987) 

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