| 可降映射的混沌集与渐近周期点 |
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| 引用本文： | 晏炳刚. 可降映射的混沌集与渐近周期点[J]. 河北工程大学学报(自然科学版), 2007, 24(3): 101-103 |
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| 作者姓名： | 晏炳刚 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院 重庆400047 |
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| 摘 要： | 研究了可降映射的混沌集和渐近周期点与其下降组各映射的混沌集和渐近周期点的关系,证明了可降映射的混沌集和渐近周期点分别是下降组各个映射的混沌集和渐近周期点的笛卡尔乘积。同时还得到:若可降映射有混沌集和渐近周期点,则下降组各个映射一定分别存在混沌集和渐近周期点,且分别都满足笛卡尔乘积关系。
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| 关 键 词： | 混沌集 周期点 渐近周期点 可降映射 |
| 文章编号： | 1673-9469（2007）03-0101-03 |
| 收稿时间： | 2007-03-23 |
| 修稿时间： | 2007-03-23 |
The chaotic set and asymptotic periodic point of descendible mapping |
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| YAN Bing-gang. The chaotic set and asymptotic periodic point of descendible mapping[J]. Journal of Hebei University of Engineering(Natural Science Edition), 2007, 24(3): 101-103 |
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| Authors: | YAN Bing-gang |
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| Affiliation: | Dept. of Mathematies and Computer Science, Chongqing Normal University, Chongqing 400047, China |
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| Abstract: | The relations between chaotic set and asyonptotic periodic point of descendible mapping and chaotic set and asyonptotic periodic point of mapping in descengible group were discussed.It was proved that the chaotic set and asyonpeotic point of descendible mapping was the cartesion product respective of chaotic set and asyonptotic periodic point in descendible group.It was also abtained that if the chaotic set and asyonptotic periodic point of descendible mapping existed,all the mapping in descendible gromp existed chaotic set and asyonptotic periodic point and accorded with the relations of cartesion product. |
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| Keywords: | chaotic set asyonptotic periodic point periodic point descendible mapping |
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