| Title:
|
A chaotic function with zero topological entropy having a non-perfect attractor (English) |
| Author:
|
Kirchheim, Bernd |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
267-272 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28D20 |
| MSC:
|
37D45 |
| MSC:
|
37E99 |
| MSC:
|
54C70 |
| idZBL:
|
Zbl 0758.58021 |
| idMR:
|
MR1094779 |
| . |
| Date available:
|
2009-09-25T10:25:20Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129388 |
| . |
| Reference:
|
[1] BLOCK. L.: Stability of periodic orbits in the theorem of Sarkovskii.Proc. Amer. Math. Soc. 82. 1981. 333-336. Zbl 0462.54029, MR 0593484 |
| Reference:
|
[2] FALCONER. K. J.: Geometry of Fractal Sets.1st ed. Cambridge University Press 1984. MR 0867284 |
| Reference:
|
[3] HSINCHU-XIONG JINGCHENG: A counterexample in dyaynamical systems of [0, 1].Proc. Amer. Math. Soc. 97, 1986. 361-366. MR 0835899 |
| Reference:
|
[4] KENŽEGULOV. CH. K., ŠARKOVSKII. A. N.: On properties of the set of limit points of an iterated sequence of continuous functions (Russian).Volžsk. Mat. Sb. 3, 1965, 343-348. MR 0199316 |
| Reference:
|
[5] ŠARKOVSKII. A. N.: Attracting sets containing no cycles (Russian).Ukrain. Mat. Žurn. 20, 1968. 136-142. MR 0225314 |
| Reference:
|
[6] ŠARKOVSKII. A. N.: On a theorem of G. D. Birkhoff (Russian).Dopov. Akad. Nauk USSR, 1967, No. 5. 429-432. |
| Reference:
|
[7] SMÍTAL. J.: Chaotic functions with zero topological entropy.Trans. Amer. Math. Soc. 297, 1986. 269-282. Zbl 0639.54029, MR 0849479 |
| Reference:
|
[8] VEREJKINA M. B., ŠARKOVSKII. A. N.: /: Recurrence in one-dimensional dynamical systems, in Approx. and Qualitative Methods of the Theory of Differential & Functional Equations (Russian).Instit. Math. AN USSR. Kiev 1983. pp. 35-46. MR 0753681 |
| . |
