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LI-YORKE: 作品数：27被引量：55H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：王立冬赵勇麦结华顾荣宝符和满更多>>; 相关机构：重庆师范大学吉林大学四川师范学院汕头大学更多>>; 相关期刊：《安徽大学学报（自然科学版）》《Science China Mathematics》《科学通报》《Communications in Mathematics and Statistics》更多>>; 相关基金：国家自然科学基金吉林省教育厅基金江苏省高校自然科学研究项目广西高校科学技术研究项目更多>>

MEAN SENSITIVITY AND BANACH MEAN SENSITIVITY FOR LINEAR OPERATORS: 《Acta Mathematica Scientia》2024年第4期1200-1228,共29页Quanquan YAO Peiyong ZHU; supported by the NSFC(11501391)。; Let(X,T)be a linear dynamical system,where X is a Banach space and T:X→X is a bounded linear operator.This paper obtains that(X,T)is sensitive(Li-Yorke sensitive,mean sensitive,syndetically mean sensitive,respectivel...; 关键词：mean sensitive Banach mean sensitive syndetically mean sensitive Li-Yorke sensitive mean Li-Yorke sensitive

关于超空间非自治动力系统混沌的研究: 《重庆师范大学学报（自然科学版）》2022年第5期104-109,共6页冷震北罗飞高瑾; 国家自然科学基金(No.11471061);桥梁无损检测与工程计算四川省高校重点实验室项目(No.2022QZJD2,No.2021QYJ07)。; 【目的】研究超空间非自治动力系统的混沌性质。【方法】通过一致收敛方法对非自治系统混沌性质进行研究。【结果】得到对任意k≥2,序列映射{f^(k)_(n)}^(∞)_(n=1)一致收敛于f^(k)。在此基础上,讨论了超空间非自治动力系统Li-Yorke混...; 关键词：超空间非自治动力系统 LI-YORKE混沌 Li-Yorke初值敏感

Relative Entropy and Mean Li-Yorke Chaos Along Some Good Sequences: 《Acta Mathematica Sinica,English Series》2021年第12期1947-1954,共8页Pei WANG Er Cai CHEN Xiu Xiu LIU Xiao Yao ZHOU; Supported by National Natural Science Foundation of China(Grant Nos.12071222,11971236);China Postdoctoral Science Foundation(Grant No.2016M591873);China Postdoctoral Science Special Foundation(Grant No.2017T100384)。; In this article,we showed that positive relative entropy implies mean Li-Yorke chaos along some good sequences in the fiber.Our result extended Li and Qiao’s result in[Monatsh.Math.,186(2018),153-173].; 关键词：Relative entropy mean Li-Yorke chaos fiber relative Pinskerσ-algebra

Analysis of Topological Structure in Transiently Chaotic Neural Networks: 《Acta Mathematicae Applicatae Sinica》2018年第3期610-621,共12页Yang GAO Zuo-huan ZHENG; Supported by the National Natural Science Foundation of China(No.11071238);the Key Lab of Random Complex Structures and Data Science,CAS(No.2008DP173182);the National Center for Mathematics and Interdisciplinary Sciences,CAS(No.Y029184K51); Under the condition that the damping factor is between zero and one, chaotic dynamics is proved to exist in one-dimensional transiently chaotic neural networks by Li-Misiurewicz theorem. This result extends the previo...; 关键词：transiently chaotic neural networks Li-Yorke chaos no division

Recent Development of Chaos Theory in Topological Dynamics被引量：18: 《Acta Mathematica Sinica,English Series》2016年第1期83-114,共32页Jian LI Xiang Dong YE; Supported by NNSF of China(Grant Nos.11371339,11431012,11401362,11471125);NSF of Guangdong province(Grant No.S2013040014084); We give a summary on the recent development of chaos theory in topological dynamics, focusing on Li-Yorke chaos, Devaney chaos, distributional chaos, positive topological entropy, weakly mixing sets and so on, and the...; 关键词：Li-Yorke chaos Devaney chaos sensitive dependence on initial conditions distributionalchaos weak mixing topological entropy Furstenberg family

双重逆极限空间上移位映射的Li-Yorke τ混沌: 《周口师范学院学报》2015年第5期17-19,共3页罗飞; 国家自然科学基金(No.11471061);2013年重庆高校创新团队建设计划资助项目(No.KJPB201308); 主要研究了非空紧致度量空间上连续映射f:X→X,g:X→X的双重逆极限空间上移位映射σfσg:←lim(X,fg)←←lim(X,fg)的一些性质;如果f,g为满射,则移位映射σfσg是Li-Yorkeτ意义下混沌当且仅当fg是Li-Yorkeτ意义下混沌.; 关键词：双重逆极限移位映射 Li-Yorkeτ意义下混沌

一类非本原代换诱导的超空间系统: 《吉林大学学报（理学版）》2014年第6期1219-1221,共3页汪威李健朱晓刚廖梦兰李俊杰; 吉林省科技发展计划项目(批准号:20140204045NY;20130522110JH);吉林省教育厅"十二五"科学技术研究项目(批准号:吉教科合字[2014]第468号);吉林农业大学科研启动基金(批准号:201310); 考虑具有两个符号等长的非本原代换诱导的超空间系统的Li-Yorke混沌性,利用该代换系统存在Li-Yorke混沌集的条件,进一步得出了其诱导的超空间系统存在Li-Yorke混沌集和不存在Li-Yorke混沌集的条件.; 关键词：非本原代换超空间系统 LI-YORKE 混沌

Solving for the Fixed Points of 3-Cycle in the Logistic Map and Toward Realizing Chaos by the Theorems of Sharkovskii and Li–Yorke: 《Communications in Theoretical Physics》2014年第10期485-496,共12页M.Howard Lee; Sharkovskii proved that, for continuous maps on intervals, the existence of 3-cycle implies the existence of all others. Li and Yorke proved that 3-cycle implies chaos. To establish a domain of uncountable cycles in t...; 关键词：logistic map CHAOS 3-cycle fixed points Sharkovskii THEOREM LI-YORKE theroem

On multi-transitivity with respect to a vector被引量：3: 《Science China Mathematics》2014年第8期1639-1648,共10页CHEN ZhiJing LI Jian L Jie; supported by National Natural Science Foundation of China(Grant Nos.11071084,11071231,11326135 and 11171320);Shantou University Scientific Research Foundation for Talents(Grant No.NTF12021); A topological dynamical system(X,f)is said to be multi-transitive if for every n∈N the system(Xn,f×f2××fn)is transitive.We introduce the concept of multi-transitivity with respect to a vector and show that multi-t...; 关键词：multi-transitivity weak mixing Furstenberg family Li-Yorke chaos

广义符号动力系统中的Li-Yorke混沌集和ω-混沌集被引量：1: 《广西师范大学学报（自然科学版）》2014年第2期75-81,共7页刘龙生康云莲赵俊玲; 国家自然科学基金资助项目(11261008);广西高校科学技术研究项目(2013YB038); 本文在广义符号动力系统Σ(Z^+)中构造一个传递的、不变的、不可数的Li-Yorke混沌集,且这个混沌集D(?)Σ(Z^+)\(?)Σ(N),还构造了一个不可数的ω-混沌集,且这个混沌集S'(?)Σ(Z^+)\(?)Σ(N)。说明了广义符号动力系统的混沌性状不是集中...; 关键词：Li-Yorke混沌集 ω-混沌集不变集传递点

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