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Coexistence of \(\omega\)-limit sets - MaRDI portal

Coexistence of \(\omega\)-limit sets (Q1878545)

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scientific article; zbMATH DE number 2098942
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Coexistence of \(\omega\)-limit sets
scientific article; zbMATH DE number 2098942

    Statements

    Coexistence of \(\omega\)-limit sets (English)
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    7 September 2004
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    The author proves a theorem in terms of \(D\)-functions [see \textit{X. D. Ye}, Ergodic Theory Dyn. Syst. 12, 365--376 (1992; Zbl 0738.54019)] which describes the coexistence of points of different dynamical behavior of the mapping \(f\in C(I,I)\), where \(I=[0,1]\).
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    \(\omega\)-limiting set
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    coexistence
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    \(D\)-functions
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    Sharkovskii's theorem
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