# A chaotic function with zero topological entropy having a non-perfect attractor

Mathematica Slovaca (1990)

- Volume: 40, Issue: 3, page 267-272
- ISSN: 0139-9918

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topKirchheim, Bernd. "A chaotic function with zero topological entropy having a non-perfect attractor." Mathematica Slovaca 40.3 (1990): 267-272. <http://eudml.org/doc/31808>.

@article{Kirchheim1990,

author = {Kirchheim, Bernd},

journal = {Mathematica Slovaca},

keywords = {chaos; entropy 0; omega-limit; isolated points; periodic points},

language = {eng},

number = {3},

pages = {267-272},

publisher = {Mathematical Institute of the Slovak Academy of Sciences},

title = {A chaotic function with zero topological entropy having a non-perfect attractor},

url = {http://eudml.org/doc/31808},

volume = {40},

year = {1990},

}

TY - JOUR

AU - Kirchheim, Bernd

TI - A chaotic function with zero topological entropy having a non-perfect attractor

JO - Mathematica Slovaca

PY - 1990

PB - Mathematical Institute of the Slovak Academy of Sciences

VL - 40

IS - 3

SP - 267

EP - 272

LA - eng

KW - chaos; entropy 0; omega-limit; isolated points; periodic points

UR - http://eudml.org/doc/31808

ER -

## References

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- FALCONER. K. J., Geometry of Fractal Sets, 1st ed. Cambridge University Press 1984. (1984) MR0867284
- HSINCHU-XIONG JINGCHENG, A counterexample in dyaynamical systems of [0, 1], Proc. Amer. Math. Soc. 97, 1986. 361-366. (1986) MR0835899
- 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. (1965) MR0199316
- ŠARKOVSKII. A. N., Attracting sets containing no cycles (Russian), Ukrain. Mat. Žurn. 20, 1968. 136-142. (1968) MR0225314
- ŠARKOVSKII. A. N., On a theorem of G. D. Birkhoff (Russian), Dopov. Akad. Nauk USSR, 1967, No. 5. 429-432. (1967)
- SMÍTAL. J., Chaotic functions with zero topological entropy, Trans. Amer. Math. Soc. 297, 1986. 269-282. (1986) Zbl0639.54029MR0849479
- 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. (1983) MR0753681

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