| 两类具有极限跟踪性的双曲系统 |
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| 引用本文： | 朱玉峻,何连法.两类具有极限跟踪性的双曲系统[J].系统科学与数学,2003,23(3):321-327. |
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| 作者姓名： | 朱玉峻 何连法 |
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| 作者单位： | 河北师范大学数学与信息科学学院,石家庄,050016 |
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| 摘 要： | 本文讨论了紧度量空间上连续满射及同胚的一类特殊的跟踪性—极限跟踪性的几个基本性质,并证明了R~n上双曲自同构及环面T~n上双曲自同态(n≥1)具有极限跟踪性。
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| 关 键 词： | 渐近伪轨 极限跟踪性 R~n上双曲自同构 环面T~n上双曲自同态 |
| 修稿时间： | 2001年4月30日 |
TWO TYPES OF HYPERBOLIC SYSTEMS WHICH HAVE LIMIT SHADOWING PROPERTY |
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| Yu Jun ZHU,Lian Fa HE.TWO TYPES OF HYPERBOLIC SYSTEMS WHICH HAVE LIMIT SHADOWING PROPERTY[J].Journal of Systems Science and Mathematical Sciences,2003,23(3):321-327. |
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| Authors: | Yu Jun ZHU Lian Fa HE |
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| Institution: | College of Mathmatics and Science of Information, Hebei Normal University, Shijiazhuang 050016,P.R.China |
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| Abstract: | In this paper, some basic properties of the limit shadowing for homeomorphisms and continuous surjective maps on compact metric space are given. The main result is that hyperbolic automorphism on Rn and hyperbolic endomorphism on Tn have limit shadowing property. |
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| Keywords: | Asymptotic pseudo-orbit limit shadowing property hyperbolic endomor- phism on Rn hyperbolic endomorphism on Tn |
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