| Title:
|
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy (English) |
| Author:
|
Janková, Katarína |
| Author:
|
Smítal, Jaroslav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
261-265 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A18 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0686.26002 |
| idMR:
|
MR1016343 |
| . |
| Date available:
|
2009-09-25T10:18:19Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136492 |
| . |
| Reference:
|
[1] BARNA B.: Über die Iteration reeller Funktionen I.Publ. Math. Debreczen, 7, 1960, 16- 40. Zbl 0112.04301, MR 0131505 |
| Reference:
|
[2] BLOCK L.: Homoclinic points of mappings of the interval.Proc Amer. Math. Soc., 72, 1978, 576-580. Zbl 0365.58015, MR 0509258 |
| Reference:
|
[3] JANKOVÁ K., SMÍTAL J.: A characterization of chaos.Bull. Austral. Math. Soc., 34, 1986, 283-292. Zbl 0577.54041, MR 0854575 |
| Reference:
|
[4] MISIUREWICZ M.: Horseshoes for mappings of the interval.Bull. Acad. Polon. Sci. Sér. Math., 27, 1979, 167-169. Zbl 0459.54031, MR 0542778 |
| Reference:
|
[5] MISIUREWICZ M., SMÍTAL J.: Smooth chaotic maps with zero topological entropy.Ergodic Th. & Dynam. Systems, to appear. Zbl 0689.58028, MR 0961740 |
| Reference:
|
[6] PREISS D., SMÍTAL J.: A characterization of non-chaotic maps of the interval stable under small perturbations.Trans. Amer. Math. Soc., to appear. MR 0997677 |
| Reference:
|
[7] ŠARKOVSKII A. N.: On cycles and the structure of continuous mappings.(Russian.) Ukrain. Mat. Ž., 17, No 3, 1965, 104-111. MR 0186757 |
| Reference:
|
[8] ŠARKOVSKII A. N.: The behavior of a map in a neighborhood of an attracting set.(Russian.) Ukrain. Mat. Ž., 18, No 2, 1966, 60-83. MR 0212784 |
| Reference:
|
[9] ŠARKOVSKII A. N.: Ona problem of isomorphism of dynamical systems.(Russian.) Proc. Internat. Conference on Nonlinear Oscillations, Vol. 2, Kiev 1970, 541-545. |
| Reference:
|
[10] SMÍTAL J.: Chaotic functions with zero topological entropy.Trans. Amer. Math. Soc. 297, 1986, 269-282. Zbl 0639.54029, MR 0849479 |
| . |
