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, 1-9

Abstract:

Let be the set of all continuous self-maps of the closed interval and has a cycle with rotation pair for any positive integer . In this paper, we prove that if , then , where is integer, odd, with coprime, and .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:931484

DOI: 10.1155/2011/931484

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