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Interval mapping graphs and periodic points of continuous functions. (English) Zbl 0474.05032


MSC:

05C20 Directed graphs (digraphs), tournaments
05C38 Paths and cycles

Citations:

Zbl 0451.05024
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Full Text: DOI

References:

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[9] Li, T. Y.; Yorke, J. A., Period three implies chaos, Amer. Math. Montly, 82, 985-992 (1975) · Zbl 0351.92021
[10] Straffin, P. D., Periodic points of continuous functions, Math. Mag., 51, 99-105 (1978) · Zbl 0455.58022
[11] Stefan, P., A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line, Comm. Math. Phys., 54, 237-248 (1977) · Zbl 0354.54027
[12] Kuczma, M., (Functional Equations in a Single Variable (1968), PWN: PWN Warsaw), Monografie Mat. 46 · Zbl 0196.16403
[13] Zdun, M. C., Continuous iteration semigroups, Boll. Un. Mat. Ital. A (5), 14, 65-70 (1977) · Zbl 0347.26005
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