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 .
Taixiang Sun. Hongjian Xi. Hailan Liang. Qiuli He. Xiaofeng Peng. "Stability of Rotation Pairs of Cycles for the Interval Maps." Abstr. Appl. Anal. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/931484