| 引用本文： |
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罗娟,罗志敏.高阶延伸集和高阶延伸极限集的连通性[J].广西科学院学报,2006,22(1):18-20,24. [点击复制]
- LUO Juan,LUO Zhi-min.The Connected Property of Higher Prolongations and Higher Prolongational Limit Set[J].Journal of Guangxi Academy of Sciences,2006,22(1):18-20,24. [点击复制]
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| 摘要: |
| 讨论动力系统中的高阶延伸集和高阶延伸极限集,给出集合的高阶延伸集和高阶延伸极限集的连通性的条件:设X是局部紧的度量空间,当M是连通的,Dα+(M)是紧的则它是连通的;当M是紧的和连通的,且Jα+(M)是紧的则它是连通的. |
| 关键词: c-c映射 高阶延伸集 高阶延伸极限集 |
| DOI： |
| 投稿时间：2005-05-19修订日期：2005-09-19 |
| 基金项目: |
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| The Connected Property of Higher Prolongations and Higher Prolongational Limit Set |
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LUO Juan, LUO Zhi-min
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| (College of Mathematics and Computer Sciences, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| higher prolongations and higher prolongational limit set in dynamical system are discussed,and the condition that the higher prolongations and higher prolongational limit set of a set are connected are given:let X be a locally compact metric space,suppose M is connected,then Dα+(M) is connected when it is compact;suppose M is compact and connected,then Jα+(M) is connected when it is compact. |
| Key words: c-c map higher prolongations higher prolongational limit set |
