一类正方形连续自映射有素周期点的一个必要条件  

Necessary Condition of Continuous Self-mapping of a Class of the Square with Prime Periodic Points

作　　者：金渝光[1] 

机构地区：[1]重庆师范学院数学系

出　　处：《重庆师范学院学报（自然科学版）》1992年第2期45-49,共5页Journal of Chongqing Normal University(Natural Science Edition)

摘　　要：设f为单位正方形到自身的连续映射,(?)是f的下降,本文给出了这类正方形连续自映射有素周期点的一个必要条件——存在x∈Ω(f)x是准周期点但不是周期点。Let f be a continuous map of a unit square into itself, f is a descent of f. In this paper, the writer mainly gives proof of a condition which is necessary for self-mapping of this class to have prime periodic points. Namely, f has prime periodic points only if there is a point xeO(f), that is, x is not a periodic point but an eventually periodic point.

关 键 词：素周期点 非游荡点 自映射 下降 

分 类 号：O177.2[理学—数学]