| 平均跟踪与伪轨跟踪 |
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| 引用本文： | 赵俊玲.平均跟踪与伪轨跟踪[J].高校应用数学学报(A辑),2004,19(3):311-314. |
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| 作者姓名： | 赵俊玲 |
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| 作者单位： | 广西师范大学,数学系,广西桂林,541004 |
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| 基金项目： | 国家自然科学基金(10071069) |
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| 摘 要： | 证明了紧致度量空间中有伪轨跟踪的distal同胚不具有平均跟踪性，并给出了有平均跟踪性的同胚是极小的一个充分条件。
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| 关 键 词： | 平均跟踪 伪轨跟踪 拓扑可迁 distal同胚 |
| 文章编号： | 1000-4424(2004)03-0311-04 |
Average shadowing property and pseudo-orbit tracing property |
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| ZHAO Jun-ling.Average shadowing property and pseudo-orbit tracing property[J].Applied Mathematics A Journal of Chinese Universities,2004,19(3):311-314. |
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| Authors: | ZHAO Jun-ling |
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| Abstract: | It is proved that if a homeomorphism f on a compact metric space with the POTP is distal homeomorphism, then f does not have the average shadowing property.A sufficient condition for a homeomorphism with the average shadowing property to be minimal is given. |
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| Keywords: | average shadowing property pseudo-orbit tracing property topologically transitive distal homeomorphism |
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