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References:
[1] Block L.: Stability of periodic orbits in the theorem of Šarkovskii. Proc. Amer. Math. Soc. 81 (1981), 333-336. MR 0593484 | Zbl 0462.54029
[2] Blokh A. M.: On limit behaviour of one dimensional dynamical systems. (Russian), Preprint (1982). MR 0643772
[3] Blokh A. M.: On sensitive mappings of an interval (Russian). Uspekhi Mat. Nauk 37, No. 2 (1982), 189-190. MR 0650765
[4] Guckenheimer J.: Sensitive dependence to initial conditions for one-dimensional maps. Commun. Math. Phys. 70 (1979), 133-160. MR 0553966 | Zbl 0429.58012
[5] Janková K., Smítal J.: A characterization of chaos. Bull. Austral. Math. Soc. 34 (1986), 283-292. MR 0854575
[6] Kloeden P. E.: Chaotic difference equations are dense. Bull. Austral. Math. Soc. 15 (1976), 371-379. MR 0432829 | Zbl 0335.39001
[7] Li T. Y., Yorke J. A.: Period three implies chaos. Amer. Math. Monthly 82 (1975), 985-992. MR 0385028 | Zbl 0351.92021
[8] Misiurewicz M., Szlenk W.: Entropy of piecevnse monotone mappings. Astérisque 50 (1977), 299-310. MR 0487998
[9] Misiurewicz M., Szlenk W.: Entropy of piecewise monotone mappings. Studia Math. 67 (1980), 45-63. MR 0579440 | Zbl 0445.54007
[10] Mizera I.: personal communication (1988). Zbl 0636.58025
[11] Piórek J.: On the generic chaos in dynamical systems. Acta Math. Univ. Iagell. 25 (1985), 293-298. MR 0837847
[12] Preston C: Iterates of Maps on an Interval. Lecture Notes in Math. 999, Springer-Verlag, 1983. MR 0706078 | Zbl 0582.58001
[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
[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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