KMS Of Academy of mathematics and systems sciences, CAS
DYNAMICS ON SENSITIVE AND EQUICONTINUOUS FUNCTIONS | |
Li, Jie1,2; Yu, Tao3,4; Zeng, Tiaoying5,6 | |
2018-06-01 | |
发表期刊 | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS |
ISSN | 1230-3429 |
卷号 | 51期号:2页码:545-563 |
摘要 | The notions of sensitive and equicontinuous functions under semigroup action are introduced and intensively studied. We show that a transitive system is sensitive if and only if it has a sensitive pair if and only if it has a sensitive function. While there exists a minimal non-weakly mixing system such that every non-constant continuous function is sensitive, and a topological dynamical system is weakly mixing if and only if it is sensitive consistently with respect to (at least) any two non-constant continuous functions. We also get a dichotomy result for minimal systems - every continuous function is either sensitive or equicontinuous. |
关键词 | Sensitivity sensitive pairs sensitive functions equicontinuous functions weak mixing |
DOI | 10.12775/TMNA.2017.054 |
语种 | 英语 |
资助项目 | NSF of Jiangsu Province[BK20170225] ; Science Foundation of Jiangsu Normal University[17XLR011] ; NNSF of China[11701231] ; NNSF of China[11371339] ; NNSF of China[11571335] ; China Postdoctoral Science Foundation[2017M611026] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000441425700010 |
出版者 | JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/30780 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Yu, Tao |
作者单位 | 1.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China 4.Univ Sci & Technol China, Dept Math, Chinese Acad Sci, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China 5.Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China 6.Jiaying Univ, Sch Math, Meizhou 514015, Guangdong, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Jie,Yu, Tao,Zeng, Tiaoying. DYNAMICS ON SENSITIVE AND EQUICONTINUOUS FUNCTIONS[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2018,51(2):545-563. |
APA | Li, Jie,Yu, Tao,&Zeng, Tiaoying.(2018).DYNAMICS ON SENSITIVE AND EQUICONTINUOUS FUNCTIONS.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,51(2),545-563. |
MLA | Li, Jie,et al."DYNAMICS ON SENSITIVE AND EQUICONTINUOUS FUNCTIONS".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 51.2(2018):545-563. |
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