Stability of Rotation Pairs of Cycles for the Interval Maps

Taixiang Sun, Hongjian Xi, Hailan Liang, Qiuli He and Xiaofeng Peng

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Let C0(I) be the set of all continuous self‐maps of the closed interval I, and P(u, v) = {f ∈ C0(I) : f has a cycle with rotation pair (u, v)} for any positive integer v > u. In this paper, we prove that if (2mns, 2mnt)⊣(γ, λ), then P(2mns, 2mnt) ⊂ int P(γ, λ), where m ≥ 0 is integer, n ≥ 1 odd, 1 ≤ s

Date: 2011
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https://doi.org/10.1155/2011/931484

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:931484

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