| 逐点伪轨跟踪性质与混沌 |
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| 引用本文： | 王群,杨润生. 逐点伪轨跟踪性质与混沌[J]. 数学研究及应用, 2008, 28(2): 413-420. DOI: 10.3770/j.issn.1000-341X.2008.02.023 |
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| 作者姓名： | 王群 杨润生 |
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| 作者单位： | [1]Department of Information Technology, Communication University of China＇s Nanjing, Jiangsu 211172, China [2]College of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China |
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| 摘 要： | 本文研究了逐点伪轨跟踪性质与拓扑混合等混沌性态的关系,给出了$f$具有逐点伪轨跟踪性质时,$f$具有一致正熵和完全正熵的一些等价条件.
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| 关 键 词： | tracing property chaos mixing uniform positive entropy completely positive entropy. 逐点 伪轨跟踪性质 混沌 Chaos Property conditions uniform positive entropy relationship tracing property chaotic properties topological mixing article |
| 收稿时间： | 2006-01-09 |
| 修稿时间： | 2006-07-06 |
Pointwise Pseudo-Orbit Tracing Property and Chaos |
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| WANG Qun and YANG Run Sheng. Pointwise Pseudo-Orbit Tracing Property and Chaos[J]. Journal of Mathematical Research with Applications, 2008, 28(2): 413-420. DOI: 10.3770/j.issn.1000-341X.2008.02.023 |
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| Authors: | WANG Qun and YANG Run Sheng |
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| Affiliation: | 1. Department of Information Technology,Communication University of China's Nanjing,Jiangsu 211172,China
2. College of Mathematics and Computer Science,Nanjing Normal University,Jiangsu 210097,China |
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| Abstract: | In this article,we discuss the relationship between pointwise pseudo-orbit tracing property and chaotic properties such as topological mixing.When f has pointwise pseudo-orbit tracing property,we give some equal conditions of uniform positive entropy and completely positive entropy. |
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| Keywords: | tracing property chaos mixing uniform positive entropy completely positive entropy. |
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