Topological entropy and variation for transitive maps
Mathematica Slovaca (1993)
- Volume: 43, Issue: 3, page 345-355
- ISSN: 0232-0525
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topBobok, 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
top- BARGE M., MARTIN J., Chaos, periodicity and snakelike continua, Trans. Amer. Math. Soc. 289 (1986), 355-365. (1986) MR0779069
- BARGE M., MARTIN J., Dense orbits on the interval, Michigan Math. J. 34 (1987), 3-11. (1987) Zbl0655.58023MR0873014
- 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
- BLOKH A. M., Sensitive mappings of an interval, (Russian), Uspekhi Mat. Nauk 37 (1982), 189-190. (1982) MR0650765
- COVEN E. M., HIDALGO M. C., On the topological entropy of transitive maps of the interval, Preprint (1990). (1990)
- MISIUREWICZ M., SZLENK W., Entropy of piecewise monotone mappings, Studia Math. 67 (1980), 45-63. (1980) Zbl0445.54007MR0579440
- 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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