| 周期伪轨跟踪性与伪轨跟踪性的关系 |
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| 引用本文： | 赵俊玲,张莉.周期伪轨跟踪性与伪轨跟踪性的关系[J].浙江大学学报(理学版),2010,37(5):505-507. |
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| 作者姓名： | 赵俊玲 张莉 |
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| 作者单位： | 广西师范大学,数学科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 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CR(f)=P(f).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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| 关 键 词： | 周期伪轨跟踪性 链回归点 ω-极限点 |
Relationship between the periodic pseudo-orbit-tracing property and the pseudo-orbit-tracing property |
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| ZHAO Jun-ling,ZHANG Li.Relationship between the periodic pseudo-orbit-tracing property and the pseudo-orbit-tracing property[J].Journal of Zhejiang University(Sciences Edition),2010,37(5):505-507. |
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| Authors: | ZHAO Jun-ling ZHANG Li |
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| Institution: | (School of Mathematical Science,Guangxi Normal University,Guilin 541004,Guangxi Province,China) |
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| Abstract: | Let（X,d） be a compact metric space,and f：X→X be a continuous map.It is proved that if f has the periodic pseudo-orbit-tracing property,then its chain recurrent set of f will be equal to the closure of the periodic point set（i.e.CR（f）=P（f））.An example is given for a map which has the pseudo-orbit-tracing property,but doesn＇t have the periodic pseudo-orbit-tracing property.In addition,two sufficient conditions are proved for the pseudo-orbit-tracing property to be the periodic pseudo-orbit-tracing properly. |
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| Keywords: | periodic pseudo-orbit-tracing property chain recurrent point ω-limit point |
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