具有极限跟踪性的系统  

Some systems with the limit shadowing property

作　　者：赵俊玲[1] 戴牧民[2] 

机构地区：[1]广西师范大学数学系,广西桂林541004 [2]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2004年第2期117-120,共4页Journal of Guangxi University（Natural Science Edition）

摘　　要：证明了若度量空间上的连续满射有伪轨跟踪性且是扩张映射,则它具有极限跟踪性.还证明了对于由{Xi,φi,fi}∞i=0生成的逆极限系统(X∞,f∞),如果每个fi具有极限跟踪性,则诱导映射f∞也有极限跟踪性,并说明了它的逆命题不成立.Let f be a self-mapping of a compact metric space. It is proved that if f is expanding and has the pseudo-orbit tracing property, then it has the limit shadowing property. Let (X_∞,f_∞) be the inverse limit system generated by {X_i,φ_i,f_i }~~∞__(i=0), it is showed that if every f_i has the limit shadowing property, then f_∞ also has it, and the inverse propositon is false.

关 键 词：极限跟踪性 伪轨跟踪性 逆极限 

分 类 号：O189.1[理学—数学]