On the structure of the space of continuous maps with zero topological entropy

Roman Hric

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 4, page 359-365
  • ISSN: 0139-9918

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Hric, Roman. "On the structure of the space of continuous maps with zero topological entropy." Mathematica Slovaca 45.4 (1995): 359-365. <http://eudml.org/doc/31762>.

@article{Hric1995,
author = {Hric, Roman},
journal = {Mathematica Slovaca},
keywords = {chaotic map; stable map; topological entropy},
language = {eng},
number = {4},
pages = {359-365},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the structure of the space of continuous maps with zero topological entropy},
url = {http://eudml.org/doc/31762},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Hric, Roman
TI - On the structure of the space of continuous maps with zero topological entropy
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 4
SP - 359
EP - 365
LA - eng
KW - chaotic map; stable map; topological entropy
UR - http://eudml.org/doc/31762
ER -

References

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  1. BLOCK L., Stability of periodic orbits in the theorem of Šarkovskij, Proc Amer. Math. Soc. 81 (1981), 333-336. (1981) MR0593484
  2. FEDORENKO V. V., ŠARKOVSKIJ A. N., SMÍTAL J., Characterization of weakly chaotic maps, Proc. Amer. Math. Soc. 110 (1990), 141-148. (1990) MR1017846
  3. JANKOVÁ K., SMÍTAL J., A characterization of chaos, Bull. Austral. Math. Soc. 34 (1986), 283-292. (1986) Zbl0577.54041MR0854575
  4. PREISS D., SMÍTAL J., A characterization of non-chaotic maps of the interval stable under small perturbation, Trans. Amer. Math. Soc. 313 (1989), 687-696. (1989) MR0997677
  5. SMÍTAL J., Chaotic functions with zero topological entropy, Trans. Amer. Math. Soc. 297 (1986), 269-282. (1986) Zbl0639.54029MR0849479

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