Title:
|
Topological entropy and variation for transitive maps (English) |
Author:
|
Bobok, Jozef |
Author:
|
Kuchta, Milan |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
43 |
Issue:
|
3 |
Year:
|
1993 |
Pages:
|
345-355 |
. |
Category:
|
math |
. |
MSC:
|
37B99 |
MSC:
|
37D45 |
MSC:
|
37E99 |
MSC:
|
54C70 |
idZBL:
|
Zbl 0795.58013 |
idMR:
|
MR1241372 |
. |
Date available:
|
2009-09-25T10:49:19Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131432 |
. |
Reference:
|
[1] BARGE M., MARTIN J.: Chaos, periodicity and snakelike continua.Trans. Amer. Math. Soc. 289 (1986), 355-365. MR 0779069 |
Reference:
|
[2] BARGE M., MARTIN J.: Dense orbits on the interval.Michigan Math. J. 34 (1987), 3-11. Zbl 0655.58023, MR 0873014 |
Reference:
|
[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. MR 0591173 |
Reference:
|
[4] BLOKH A. M.: Sensitive mappings of an interval.(Russian), Uspekhi Mat. Nauk 37 (1982), 189-190. MR 0650765 |
Reference:
|
[5] COVEN E. M., HIDALGO M. C.: On the topological entropy of transitive maps of the interval.Preprint (1990). |
Reference:
|
[6] MISIUREWICZ M., SZLENK W.: Entropy of piecewise monotone mappings.Studia Math. 67 (1980), 45-63. Zbl 0445.54007, MR 0579440 |
Reference:
|
[7] PARRY W.: Symbolic dynamics and transformations of the unit interval.Trans. Amer. Math. Soc. 122 (1966), 368-378. Zbl 0146.18604, MR 0197683 |
. |