@article{MASLO_1990_40_3_a4,
author = {Kirchheim, Bernd},
title = {A chaotic function with zero topological entropy having a non-perfect attractor},
journal = {Mathematica slovaca},
pages = {267--272},
year = {1990},
volume = {40},
number = {3},
mrnumber = {1094779},
zbl = {0758.58021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1990_40_3_a4/}
}
Kirchheim, Bernd. A chaotic function with zero topological entropy having a non-perfect attractor. Mathematica slovaca, Tome 40 (1990) no. 3, pp. 267-272. http://geodesic.mathdoc.fr/item/MASLO_1990_40_3_a4/
[1] BLOCK. L.: Stability of periodic orbits in the theorem of Sarkovskii. Proc. Amer. Math. Soc. 82. 1981. 333-336. | MR | Zbl
[2] FALCONER. K. J.: Geometry of Fractal Sets. 1st ed. Cambridge University Press 1984. | MR
[3] HSINCHU-XIONG JINGCHENG: A counterexample in dyaynamical systems of [0, 1]. Proc. Amer. Math. Soc. 97, 1986. 361-366. | MR
[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
[5] ŠARKOVSKII. A. N.: Attracting sets containing no cycles (Russian). Ukrain. Mat. Žurn. 20, 1968. 136-142. | MR
[6] ŠARKOVSKII. A. N.: On a theorem of G. D. Birkhoff (Russian). Dopov. Akad. Nauk USSR, 1967, No. 5. 429-432.
[7] SMÍTAL. J.: Chaotic functions with zero topological entropy. Trans. Amer. Math. Soc. 297, 1986. 269-282. | MR | Zbl
[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