Geodesic
Typical continuous function without cycles is stable
Mathematica slovaca, Tome 35 (1985) no. 2, pp. 123-126

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Classification : 26A18, 54H20 
Neubrunnová, Katarína. Typical continuous function without cycles is stable. Mathematica slovaca, Tome 35 (1985) no. 2, pp. 123-126. http://geodesic.mathdoc.fr/item/MASLO_1985_35_2_a2/
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[1] BLOCK L.: Stability of periodic oгbits in the theorem of Šarkovskii. Pгoc. Ameг. Math. Soc. 81, 1981, 333-336. | MR

[2] COVEN E. M., HEDLUND G. A.: Continuous maps of the inteгval whose peгiodic points foгm a closed set. Pгoc. Amer. Math. Soc. 79, 1980, 127-133. | MR

[З] KLOEDEN P.: Chaotic difference equations are dense. Bull. Austr. Math. Soc. 15, 1976, 371-379. | MR | Zbl

[4] LI T. Y., YORKE J. A.: Period three implies chaos. Amer. Math. Monthly 82, 1 975, 985-992. | MR | Zbl

[5] MAY R. M.: Sirnple mathematical models with very complicated dynamics. Nature 261, 1976, 459-467.

[6] SMÍTAL J., SMÍTALOVÁ K.: Structural stability of typical nonchaotic difference equations. Journ. Math. Anal. and Appl. 90, 1982, 1-11. | MR

[7] SMÍTAL J., NEUBRUNNOVÁ K.: Stability of typical continuous functions with respect to some properties of their iterates. Proc. Amer. Math. Soc. to appear. | MR | Zbl

[8] ШAPKOBCKИЙ A. H.: Cocyщecтвoвaниe циклoв нeпpepывнoгo npeoбpaзoвaния npямoй в ceбя. Укpaин. Maт. Жypнaл 16, 1964, 61-71.

[9] ШAPKOBCKИЙ A. H.: O циклax и cтpyктype нeпpepывнoгo oтoбpaжeния. Укpaин. Maт. Жypнaл 17, 1965, 104-111. | MR