N维单体上的连续自映射有素周期点的条件  

The Condition of the Continuous Self-mapping of Unit Solid Body in R^n with Prime Periodic Points

作　　者：张爱华[1] 王尧[2] 

机构地区：[1]南京邮电学院应用数理系,江苏南京210003 [2]鞍山师范学院数学系,辽宁鞍山114005

出　　处：《鞍山师范学院学报》2003年第2期4-6,共3页Journal of Anshan Normal University

摘　　要：设 f为N维单体到自身的连续映射 ,F是 f的下降 .文中给出了这种映射有素周期点的一个必要条件———存在x∈Ω(f) ,使x是准周期点 ,但不是周期点 .Let f be a continuous map of a unit solid body in R n.F is a descent of f.In this paper,we mainly give a necessary condition for this class of self mapping to have a prime periodic point.Namely,if f has prime periodic points,there is a point x∈Ω(f) such that x is not a periodic point but is an eventually periodic point.

关 键 词：N维单体 连续自映射 素周期点 准周期点 周期点 线段 

分 类 号：O186.13[理学—数学]