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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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2010-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2010.05.005 |
| _version_ | 1797236094528389120 |
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| author | ZHAOJun-ling(赵俊玲) ZHANGLi(张莉) |
| author_facet | ZHAOJun-ling(赵俊玲) ZHANGLi(张莉) |
| author_sort | ZHAOJun-ling(赵俊玲) |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T16:58:23Z |
| format | Article |
| id | doaj.art-02ba0aae03d34cf892c85e496746e1df |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:58:23Z |
| publishDate | 2010-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-02ba0aae03d34cf892c85e496746e1df2024-03-29T01:58:28ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972010-09-0137550550710.3785/j.issn.1008-9497.2010.05.005Relationship 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)ZHAOJun-ling(赵俊玲)0ZHANGLi(张莉)1School of Mathematical Science, Guangxi Normal University, Guilin 541004, Guangxi Province, China(广西师范大学数学科学学院，广西 桂林 541004)School of Mathematical Science, Guangxi Normal University, Guilin 541004, Guangxi Province, China(广西师范大学数学科学学院，广西 桂林 541004)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.https://doi.org/10.3785/j.issn.1008-9497.2010.05.005关 键 词：周期伪轨跟踪性链回归点ω-极限点 |
| spellingShingle | ZHAOJun-ling(赵俊玲) ZHANGLi(张莉) 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) Zhejiang Daxue xuebao. Lixue ban 关 键 词：周期伪轨跟踪性 链回归点 ω-极限点 |
| title | 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) |
| title_full | 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) |
| title_fullStr | 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) |
| title_full_unstemmed | 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) |
| title_short | 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) |
| title_sort | 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 |
| topic | 关 键 词：周期伪轨跟踪性 链回归点 ω-极限点 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2010.05.005 |
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