| Title:
|
Stable and non-stable non-chaotic maps of the interval (English) |
| Author:
|
Gedeon, Tomáš |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
379-391 |
| . |
| Category:
|
math |
| . |
| MSC:
|
37C75 |
| MSC:
|
37D45 |
| MSC:
|
37E99 |
| idZBL:
|
Zbl 0762.58014 |
| idMR:
|
MR1149045 |
| . |
| Date available:
|
2009-09-25T10:33:46Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129980 |
| . |
| Reference:
|
[1] DEN JOY A.: Sur les courbes definies les equations différentielles a la surface du tore.J. Math. Pures Appl., IX. Ser. 11 (1932), 333-375. |
| Reference:
|
[2] GEDEON T.: There are no chaotic mappings with residual scrambled sets.Bull. Austr. Math. Soc. 36 (1987), 411-416. Zbl 0646.26008, MR 0923822 |
| Reference:
|
[3] HARRISON J.: Wandering intervals.In: Dynamical Systems and Turbulence. (Warwick 1980), Lecture Notes in Math, vol 898, Springer Berlin, Heidelberg and N. Y., 1981, pp. 154-163. MR 0654888 |
| Reference:
|
[4] JANKOVÁ K., SMÍTAL J.: A characterization of chaos.Bull. Austr. Math. Soc. 34 (1986), 283-293. Zbl 0577.54041, MR 0854575 |
| Reference:
|
[5] JANKOVÁ K., SMÍTAL J.: A Theorem of Sarkovskii characterizing continuous map with zero topological entropy.Math. Slovaca (To appear). MR 1016343 |
| Reference:
|
[6] PREISS D., SMÍTAL J.: A characterization of non-chaotic continuous mappings of the interval stable under small perturbations.Trans. Am. Math. Soc. (To appear). MR 0997677 |
| Reference:
|
[7] SMÍTAL J.: Chaotic functions with zero topological entropy.Trans. Am. Math. Soc. 297 (1986), 269-282. Zbl 0639.54029, MR 0849479 |
| Reference:
|
[8] SMÍTAL J.: A chaotic function with scrambled set of positive Lebesque measure.Proc. Am. Math. Soc. 92 (1984), 50-54. MR 0749888 |
| Reference:
|
[9] ŠARKOVSKII A. N.: The behaviour of a map in a neighbourhood of an attracting set.(Russian), Ukrain. Math. Zh. 18 (1966), 60-83. MR 0212784 |
| Reference:
|
[10] ŠARKOVSKII A. N.: Attracting sets containing no cycles.(Russian), Ukr. Math. Zh. 20 (1968), 136-142. MR 0225314 |
| Reference:
|
[11] ŠARKOVSKII A. N.: On cycles and structure of continuous mappings.(Russian), Ukr. Math. Zh. 17 (1965), 104-111. MR 0186757 |
| Reference:
|
[12] ŠARKOVSKII A. N.: A mapping with zero topological entropy having continuum minimal Cantor sets.(Russian), In: Dynamical Systems and Turbulence. Kiev, 1989, pp. 109-115. |
| Reference:
|
[13] van STRIEN S. J.: Smooth dynamics on the interval.Preprint (1987). |
| . |
