Title:
|
Generic chaos (English) |
Author:
|
Snoha, Ľubomír |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
31 |
Issue:
|
4 |
Year:
|
1990 |
Pages:
|
793-810 |
. |
Category:
|
math |
. |
MSC:
|
26A18 |
MSC:
|
37D45 |
MSC:
|
54H20 |
MSC:
|
58F13 |
idZBL:
|
Zbl 0724.58044 |
idMR:
|
MR1091377 |
. |
Date available:
|
2008-06-05T21:46:33Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106915 |
. |
Reference:
|
[1] Block L.: Stability of periodic orbits in the theorem of Šarkovskii.Proc. Amer. Math. Soc. 81 (1981), 333-336. Zbl 0462.54029, MR 0593484 |
Reference:
|
[2] Blokh A. M.: On limit behaviour of one dimensional dynamical systems.(Russian), Preprint (1982). MR 0643772 |
Reference:
|
[3] Blokh A. M.: On sensitive mappings of an interval (Russian).Uspekhi Mat. Nauk 37, No. 2 (1982), 189-190. MR 0650765 |
Reference:
|
[4] Guckenheimer J.: Sensitive dependence to initial conditions for one-dimensional maps.Commun. Math. Phys. 70 (1979), 133-160. Zbl 0429.58012, MR 0553966 |
Reference:
|
[5] Janková K., Smítal J.: A characterization of chaos.Bull. Austral. Math. Soc. 34 (1986), 283-292. MR 0854575 |
Reference:
|
[6] Kloeden P. E.: Chaotic difference equations are dense.Bull. Austral. Math. Soc. 15 (1976), 371-379. Zbl 0335.39001, MR 0432829 |
Reference:
|
[7] Li T. Y., Yorke J. A.: Period three implies chaos.Amer. Math. Monthly 82 (1975), 985-992. Zbl 0351.92021, MR 0385028 |
Reference:
|
[8] Misiurewicz M., Szlenk W.: Entropy of piecevnse monotone mappings.Astérisque 50 (1977), 299-310. MR 0487998 |
Reference:
|
[9] Misiurewicz M., Szlenk W.: Entropy of piecewise monotone mappings.Studia Math. 67 (1980), 45-63. Zbl 0445.54007, MR 0579440 |
Reference:
|
[10] Mizera I.: .personal communication (1988). Zbl 0636.58025 |
Reference:
|
[11] Piórek J.: On the generic chaos in dynamical systems., Acta Math. Univ. Iagell. 25 (1985), 293-298. MR 0837847 |
Reference:
|
[12] Preston C: Iterates of Maps on an Interval.Lecture Notes in Math. 999, Springer-Verlag, 1983. Zbl 0582.58001, MR 0706078 |
Reference:
|
[13] Šarkovskii A. N.: Coexistence of cycles of continuous maps of the line into itself.(Russian), Ukrain. Math. Zh. 16 (1964), 61-71. MR 0159905 |
Reference:
|
[14] Šarkovskii A. N., Maistrenko Ju. L., Romanenko E. Ju.: Difference Equations and their Applications.(Russian), Naukova Dumka, Kiev, 1986. MR 0895825 |
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