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A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line. (English) Zbl 0354.54027

MSC:
54H20 Topological dynamics (MSC2010)
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[1] ҆arkovskii, A. N.: Coexistence of cycles of a continuous map of a line into itself. Ukr. Mat. Z.16, 61–71 (1964)
[2] Bowen, R., Franks, J.: The periodic points of maps of the disk and the interval. I.H.E.S. preprint, November 1975 · Zbl 0346.58010
[3] Guckenheimer, J.: On the bifurcation of maps of the interval. Preprint, 1976 · Zbl 0354.58013
[4] Li, T., Yorke, J. A.: Period three implies chaos. Am. Mat. Monthly82, 985–992 (1975) · Zbl 0351.92021
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