Relationship between the periodic pseudo-orbit-tracing property and the pseudo-orbit-tracing property(周期伪轨跟踪性与伪轨跟踪性的关系)

设(X, d)为紧致度量空间, f是X上的连续自映射.首先证明了 :若f具有周期伪轨跟踪性,则f的链回归集与周期点集的闭包相等,即.然后利用此性质,给出了一个具有伪轨跟踪性但不具有周期伪轨跟踪性的例子.最后给出了伪轨跟踪性蕴含周期伪轨跟踪性的两个充分条件....

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Bibliographic Details
Main Authors: ZHAOJun-ling(赵俊玲), ZHANGLi(张莉)
Format: Article
Language:zho
Published: Zhejiang University Press 2010-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2010.05.005