Sharkovskii's order and the stability of periodic points of maps of the interval

Journal of the Australian Mathematical Society

Guang Yuan Zhang¹ 

[1] Qing Zhong Li

关键词: primary 58F20;   

DOI  :  10.1017/S144678870000197X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let f be a Cr (r ≥ 0) map from the interval [0, 1] into itself and m be a positive integer. This paper gives a sufficient and necessary condition under which the set of periodic points of period m disappears after a certain small Cr-perturbation.

【 授权许可】

Unknown