| 微分同胚f在双曲不变集上的各种反跟踪性 |
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| 引用本文： | 韩英豪,解祎美. 微分同胚f在双曲不变集上的各种反跟踪性[J]. 大连民族学院学报, 2007, 9(1): 75-78 |
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| 作者姓名： | 韩英豪 解祎美 |
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| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029;辽宁师范大学,数学学院,辽宁,大连,116029 |
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| 摘 要： | 定义了离散动力系统中的极限反跟踪性和强反跟踪性的概念,并证明了微分同胚f在其双曲不变集上具有极限反跟踪性和强反跟踪性;如果可扩同胚f具有伪轨跟踪性,则f具有极限反跟踪性和强反跟踪性.
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| 关 键 词： | 反跟踪性 极限反跟踪性 强反跟踪性 |
| 文章编号： | 1009-315X（2007）01-0075-04 |
| 收稿时间： | 2006-07-12 |
| 修稿时间： | 2006-07-12 |
Various Inverse Shadowing Properties of Diffeomorphism on the Hyperbolic Invariant Set |
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| HAN Ying-hao,XIE Yi-mei. Various Inverse Shadowing Properties of Diffeomorphism on the Hyperbolic Invariant Set[J]. Journal of Dalian Nationalities University, 2007, 9(1): 75-78 |
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| Authors: | HAN Ying-hao XIE Yi-mei |
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| Abstract: | This paper defines the limit inverse shadowing property and strong inverse shadowing property.Let it be a diffeomorphism.It is shown that(i) f has the limit inverse shadowing property and strong inverse shadowing property on the hyperbolic invariant set;(ii) f has the strong inverse shadowing property if an expansive diffeomorphism has forged shadowing property. |
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| Keywords: | inverse shadowing property limit inverse shadowing property strong inverse shadowing property |
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