| 由一类紧致系统诱导的集值M-系统 |
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| 引用本文： | 王立冬,李超.由一类紧致系统诱导的集值M-系统[J].大连民族学院学报,2011,13(1):28-30. |
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| 作者姓名： | 王立冬 李超 |
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| 作者单位： | 大连民族学院理学院;辽宁师范大学数学学院; |
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| 摘 要： | 主要研究由M-系统所诱导的集值动力系统。设(X,d)是紧致度量空间,(K(X),H)是X中所有非空紧子集所组成的空间,并赋予由d导出的Hausdorff度量。f和-f分别是它们上的连续自映射。证明了如果f是几乎周期稠密的,那么f-同样也是;由完全极大敏感M-系统所诱导的集值系统也是M-系统。
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| 关 键 词： | 集值系统 M-系统 几乎周期点 |
The Set-valued M-system Induced by a Class Compact System |
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| WANG Li-dong,LI Chao.The Set-valued M-system Induced by a Class Compact System[J].Journal of Dalian Nationalities University,2011,13(1):28-30. |
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| Authors: | WANG Li-dong LI Chao |
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| Institution: | WANG Li-dong,LI Chao(1.College of Science,Dalian Nationalities University,Dalian Liaoning 116605,China,2.School of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China) |
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| Abstract: | The set-valued dynamical system induced by M-system has been investigated.Let(X,d) be a compact metric space and(K(X),H)be a-induced Hausdorff metric space of all non-empty compact subsets of X.The functions f and are the continuous maps on them respectively.We have proved that if f is almost periodically dense,then is also almost periodically dense.Besides,we also have proved that the set-valued systems induced by totally maximum sensitive M-system are M-system. |
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| Keywords: | set-valued system M-system almost periodical point |
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