| 拓 扑 链 遍 历 映 射 |
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| 引用本文： | 孟鑫,关志强,刘国清.拓 扑 链 遍 历 映 射[J].吉林大学学报(理学版),2008,46(3):475-477. |
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| 作者姓名： | 孟鑫 关志强 刘国清 |
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| 作者单位： | 1. 吉林师范大学 数学学院， 吉林 四平 136000； 2. 沈阳大学 新民师范学院, 沈阳 110300； 3. 大庆师范学院 数学系, 黑龙江 大庆 163712 |
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| 摘 要： | 通过引进链遍历的概念以及链遍历与拓扑遍历的关系,
证明了拓扑遍历蕴涵链遍历但反之不然, 指出对于满足伪轨跟踪性质的映射两种性质是等价的, 并给出了动力系统序列与其生成的逆极限系统之间链遍历的相互蕴涵性, 推广了拓扑遍历性已有的相应结果.
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| 关 键 词： | 链遍历 拓扑遍历 逆极限空间 |
| 文章编号： | 1671-5489(2008)03-0475-03 |
| 收稿时间： | 2007-08-28 |
| 修稿时间： | 2007年8月28日 |
Mapping of Topological Chain Ergodicity |
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| MENG Xin,GUAN Zhi-qiang,LIU Guo-qing.Mapping of Topological Chain Ergodicity[J].Journal of Jilin University: Sci Ed,2008,46(3):475-477. |
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| Authors: | MENG Xin GUAN Zhi-qiang LIU Guo-qing |
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| Institution: | 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;\=2. Xinmin Teachers’ College, Shenyang University, Shenyang 110300, China；3. Department of Mathematics, Daqing Teachers’ College, Daqing 163712, Heilongjiang Province, China |
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| Abstract: | By introducing the definition of chain ergodicity and its relationship with topological ergodicity, this paper proves that if topological ergodicity is fulfilled, the chain ergodicity will be fulfilled, too, while it’s not true conversely. Further, it is pointed out that the two properties of mapping which meet the demand of pseudo orbit
tracing properties are equivalent. In addition, the present paper presents that if
the power system squence is fulfilled, its generated converse limit system will be fulfilled, too, and it’s also true conversely and hence develops the corresponding theory of topological ergodicity. |
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| Keywords: | chain ergodicity topological ergodicity converse limit space |
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