| 一致空间中伪轨跟踪性质的一些注记 |
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| 引用本文： | 李振宇,吴红英.一致空间中伪轨跟踪性质的一些注记[J].怀化学院学报,2014(11):21-24. |
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| 作者姓名： | 李振宇 吴红英 |
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| 作者单位： | 1. 广州大学 数学与信息科学学院,广东 广州,510006
2. 怀化学院 数学与应用数学系,湖南 怀化,418008 |
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| 基金项目： | 广州市教育局科技计划项目 |
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| 摘 要： | 在作用于一致空间的动力系统(X,f)中研究了伪轨跟踪的若干性质,得到如下结果:(1)f的任意一条链都能被一条真实的轨道跟踪.(2)如果存在正整数k∈N,使得fk有伪轨跟踪性质,则f也有伪轨跟踪性质.(3)如果f是有d-跟踪性质,则对任意的k∈N,fk有d-跟踪性质.(4)如果(X,f)是拓扑共轭于(Y,g),则f有伪轨跟踪性质当且仅当g有伪轨跟踪性质.
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| 关 键 词： | 一致空间 伪轨跟踪 d-跟踪 一致连续 |
Some Notes of the Pseudo - orbit - tracing Property in Uniform Space |
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| LI Zhen-yu,WU Hong-ying.Some Notes of the Pseudo - orbit - tracing Property in Uniform Space[J].Journal of Huaihua University,2014(11):21-24. |
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| Authors: | LI Zhen-yu WU Hong-ying |
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| Institution: | LI Zhen-yu , WU Hong-ying( 1. Department of Mathematics and Information Science, Guangzhott University, Guangzhou, Guangdong 510006 ; 2. Department of Mathematics and Information Science, Huaihua University, Huaihua , Hunan 418008) |
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| Abstract: | This paper introduces a lot of pseudo- orbit shadowing properties in topologic dynamical system in uniform space. And then some main results are given：（ 1） Suppose that X is a uniform space,and f ∶ X → X is a uniformly continuous and surjective map,then the chain with any length is traced by a true orbit.（ 2） Let f be uniformly continuous.If f^k has the pseudo- orbit- tracing property,then so does f.（ 3） If f has d- shadowing property then so does fk for any k≥1.（ 4） Let f ∶X → X and g∶Y → Y be uniformly continuous. If（ X,f） is topologically conjugate（ Y,g） then f has d-shadowing property if and only if g does. |
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| Keywords: | uniform space pseudo - orbit shadowing d - shadowing uniform continuous |
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