| 敏感性与Furstenberg族(英文) |
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| 引用本文： | 牛应轩,苏守宝.敏感性与Furstenberg族(英文)[J].皖西学院学报,2012,28(2):13-17,28. |
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| 作者姓名： | 牛应轩 苏守宝 |
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| 作者单位： | 1. 皖西学院应用数学学院,安徽六安,237012
2. 皖西学院信息工程学院,安徽六安,237012 |
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| 基金项目： | supported by the National Natural Science Foundation of China（61075049）; the Natural Science Foundation of Universities of Anhui Province（KJ2007B123） |
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| 摘 要： | 设X是一个紧致度量空间,f:X→X是连续的。引入了F敏感性的概念,F是非负整数集的子集构成的集族且是遗传向上的。得到了F敏感性的一些性质和充分条件。给出了极小系统是Fs敏感的一个刻画。
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| 关 键 词： | 敏感性 F敏感性 F传递性 F混合 极小性 |
Sensitivity and Furstenberg Family |
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| NIU Ying-xuan,SU Shou-bao.Sensitivity and Furstenberg Family[J].Journal of Wanxi University,2012,28(2):13-17,28. |
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| Authors: | NIU Ying-xuan SU Shou-bao |
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| Institution: | 1.College of Applied Mathematics,West Anhui University,Lu＇an 237012,China;2.College of Information Technology,West Anhui University,Lu＇an 237012,China) |
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| Abstract: | Let X be a compact metric space andf：X→X be continuous.In the present paper,the notion of F sensitivity is introduced,where Fis a collection of subsets of Z＋ that is hereditary upward.Some properties and sufficient conditions of F sensitivity are obtained.In particular,we give a charcterization of Fs sensitivity for minimal maps. |
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| Keywords: | sensitivity F sensitivity F transitivity F mixing minimality |
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