UC知道请人帮忙翻译~~如果你是搞数学的就更好了！
来源：百度知道 编辑：UC知道 时间：2024/06/03 18:29:42
逆极限空间上渐近伪轨跟踪性质
顾荣宝 , 盛业青
Abstract(摘要): The connection(联络) between APOTP(asymptotic pseudo orbit tracing property)(渐近伪轨跟踪性质)for a continuous map(连续映射) on a compact metric space(紧度量空间) and that for the shift map(移位映射) on the inverse limit space (逆向极限空间)is investigated(调查？)．As an application(应用)，it is showed that the shift map(移位映射) on Henderson(恒基?) pseudoarc (伪弧) has APOTP．
1 Introduction(引言)
The pseudo orbit tracing property(POTP)(伪轨道追迹性质)is one of the most important notions in dynamical systems(动力系统)．The so-called(所谓？) asymptotic pseudo orbit tracing property(APOTP)(渐近伪轨跟踪性质) is introduced by S．Y．Pilyugin and studied by many authors，see for instance. Since there is an example of the system possessing APOTP but not POTP，APOTP is not equivalent to POTP in general．It is known from that the shift homeomorphism(移动同胚) has POTP if and only if the sole bonding map(映射) does．In this paper，we investigate the relationship(关系) between APOTP for a continuous map(
顾荣宝 , 盛业青
Abstract(摘要): The connection(联络) between APOTP(asymptotic pseudo orbit tracing property)(渐近伪轨跟踪性质)for a continuous map(连续映射) on a compact metric space(紧度量空间) and that for the shift map(移位映射) on the inverse limit space (逆向极限空间)is investigated(调查？)．As an application(应用)，it is showed that the shift map(移位映射) on Henderson(恒基?) pseudoarc (伪弧) has APOTP．
1 Introduction(引言)
The pseudo orbit tracing property(POTP)(伪轨道追迹性质)is one of the most important notions in dynamical systems(动力系统)．The so-called(所谓？) asymptotic pseudo orbit tracing property(APOTP)(渐近伪轨跟踪性质) is introduced by S．Y．Pilyugin and studied by many authors，see for instance. Since there is an example of the system possessing APOTP but not POTP，APOTP is not equivalent to POTP in general．It is known from that the shift homeomorphism(移动同胚) has POTP if and only if the sole bonding map(映射) does．In this paper，we investigate the relationship(关系) between APOTP for a continuous map(
提取?接在APOTP(asymptotic 冒充的?道追?的物?之?) ?一???的地?在??公尺空??且那是??移地?在相反?限空?被?查的?As 每?用?? 它被?示?移地? 在Henderson pseudoarc 有APOTP? 介? 冒充的?道追?的property(POTP) 是最重要的概念的?中一?在所?的??冒充的?道追?的property(APOTP) 由S?Y?Pilyugin 介?和由?多??authors?see 例如的??系??The 。因?有系?的例子?有APOTP 但不是POTP?APOTP ?POTP 不是等效的在general?It ?人所知?那?移??同形有POTP如果?且只如果?一接合地?does?In ?paper?we ?查??在APOTP 之??一???的地?在??公尺空?和那??移地?在相反?限空??As ?用?we 展示, ?移地?在Henderson pseudoarc 有APOTP