Topological entropy and variation for transitive maps

Jozef Bobok; Milan Kuchta

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 3, page 345-355
  • ISSN: 0139-9918

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Bobok, Jozef, and Kuchta, Milan. "Topological entropy and variation for transitive maps." Mathematica Slovaca 43.3 (1993): 345-355. <http://eudml.org/doc/32154>.

@article{Bobok1993,
author = {Bobok, Jozef, Kuchta, Milan},
journal = {Mathematica Slovaca},
keywords = {iterations; maps of the interval; topological dynamics; transitive maps; dense orbits},
language = {eng},
number = {3},
pages = {345-355},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Topological entropy and variation for transitive maps},
url = {http://eudml.org/doc/32154},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Bobok, Jozef
AU - Kuchta, Milan
TI - Topological entropy and variation for transitive maps
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 3
SP - 345
EP - 355
LA - eng
KW - iterations; maps of the interval; topological dynamics; transitive maps; dense orbits
UR - http://eudml.org/doc/32154
ER -

References

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  1. BARGE M., MARTIN J., Chaos, periodicity and snakelike continua, Trans. Amer. Math. Soc. 289 (1986), 355-365. (1986) MR0779069
  2. BARGE M., MARTIN J., Dense orbits on the interval, Michigan Math. J. 34 (1987), 3-11. (1987) Zbl0655.58023MR0873014
  3. BLOCK L., GUCKENHEIMER J., MISIUREWICZ M., YOUNG L. S., Periodic points and topological entropy of one-dimensional maps, In: Global Theoгy of Dynamical Systems (Proc. Internat. Conf., Noгthwesteгn Univ., Evanston, 111., 1979). Lecture Notes in Math. 812, Spгinger, Beгlin, 1980, pp. 18-34. (1979) MR0591173
  4. BLOKH A. M., Sensitive mappings of an interval, (Russian), Uspekhi Mat. Nauk 37 (1982), 189-190. (1982) MR0650765
  5. COVEN E. M., HIDALGO M. C., On the topological entropy of transitive maps of the interval, Preprint (1990). (1990) 
  6. MISIUREWICZ M., SZLENK W., Entropy of piecewise monotone mappings, Studia Math. 67 (1980), 45-63. (1980) Zbl0445.54007MR0579440
  7. PARRY W., Symbolic dynamics and transformations of the unit interval, Trans. Amer. Math. Soc. 122 (1966), 368-378. (1966) Zbl0146.18604MR0197683

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