[1]颜棋,尹建东.一类极小系统的动力性状[J].华侨大学学报(自然科学版),2015,36(2):237-240.[doi:10.11830/ISSN.1000-5013.2015.02.0237]
　YAN Qi,YIN Jian-dong.Dynamical Propertise for a Class of Minimal Dynamical Systems[J].Journal of Huaqiao University(Natural Science),2015,36(2):237-240.[doi:10.11830/ISSN.1000-5013.2015.02.0237]
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一类极小系统的动力性状()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第36卷
期数:
2015年第2期
页码:
237-240
栏目:
出版日期:
2015-03-20

文章信息/Info

Title:
Dynamical Propertise for a Class of Minimal Dynamical Systems
文章编号:
1000-5013(2015)02-0237-04
作者:
颜棋;  尹建东
南昌大学 理学院, 江西 南昌 330031
Author(s):
YAN Qi;  YIN Jian-dong
School of Science, Nanchang University, Nanchang 330031, China
关键词:
弱几乎周期点;  极小系统;  强遍历;  遍历敏感
Keywords:
weakly almost periodic point;  minimal system;  strongly ergodic;  ergodicly sensitive
分类号:
O189.1
DOI:
10.11830/ISSN.1000-5013.2015.02.0237
文献标志码:
A
摘要:
引进了真弱几乎周期点极小系统这一新概念,即一个含有真的弱几乎周期点而不存在真子系统具有此性质的系统,并证明了该系统是拓扑传递,具有满测度中心.结果表明:该系统是Takens-Ruelle混沌的,强遍历和完全遍历敏感的.
Abstract:
A new concept of proper weakly almost periodic point minimal system is introduced, that is, a system contains proper weakly almost periodic points containing no proper subsystem with these properties. We prove that such a system is topologically transitive and has a full measure center. It can be proved further that such a system is Taken-Ruelle chaos, strongly ergodic and totally ergodicly sensitive.

参考文献/References:

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[4] 王肖义,黄煜.不含混沌真子系统的Li-Yorke混沌[J].数学学报,2012,55(4):749-756.
[5] 周作领,尹建东,许绍元.拓扑动力系统:从拓扑方法到遍历理论方法[M].北京:科学出版社,2011:117-120.
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[8] YIN Jian-dong,ZHOU Zuo-ling.A characterization of topologically transitive attributes for a class of dynamical system[J].Chinese Annals of Mathematics,2012,33(3):419-428.

相似文献/References:

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　JIN Xiang-hua,CHEN Er-ming.Some Generalizations of a Class of Sets in Topological Dynamical Systems[J].Journal of Huaqiao University(Natural Science),2011,32(2):467.[doi:10.11830/ISSN.1000-5013.2011.04.0467]

备注/Memo

备注/Memo:
收稿日期: 2014-08-30
通信作者: 尹建东(1975-),男,副教授,博士,主要从事拓扑动力系统的研究.E-mail:yjdaxf@163.com.
基金项目: 国家自然科学基金资助项目(11261039); 江西省自然科学基金资助项目(20132BAB201009)
更新日期/Last Update: 2015-03-20