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对角线传递蕴含按序列对角线分布混沌

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对角线传递蕴含按序列对角线分布混沌 钟兴富1, 陈志景21. 广东外语外贸大学数学与统计学院 广州 510006;
2广东技术师范大学数学与系统科学学院 广州 510665 Delta Transitivity Implies Delta Distributional Chaos in a Sequence Xing Fu ZHONG1, Zhi Jing CHEN21. School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, P. R. China;
2. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China
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摘要本文介绍了按序列对角线分布混沌的概念.运用Kuratowski—Mycielski定理,证明了对角线传递系统有稠密的Mycielski按序列对角线分布混沌集.
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收稿日期: 2020-04-25
MR (2010):O193
基金资助:国家自然科学基金(11771459,11701584,11871228);广东外语外贸大学研究基金(299-X5218165,299-X5219222);广东省普通高校特色创新类项目(2018KTSCX122)和广东省基础与应用基础研究基金区域联合基金(青年基金项目:2019A1515110932)
通讯作者:陈志景,E-mail:chzhjing@mail2.sysu.edu.cnE-mail: chzhjing@mail2.sysu.edu.cn
作者简介: 钟兴富,E-mail:xfzhong@gdufs.edu.cn
引用本文:
钟兴富, 陈志景. 对角线传递蕴含按序列对角线分布混沌[J]. 数学学报, 2021, 64(5): 857-864. Xing Fu ZHONG, Zhi Jing CHEN. Delta Transitivity Implies Delta Distributional Chaos in a Sequence. Acta Mathematica Sinica, Chinese Series, 2021, 64(5): 857-864.
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http://www.actamath.com/Jwk_sxxb_cn/CN/ http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I5/857


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[1]吴小英, 陈员龙, 王芬. 完备度量空间中的混沌判定[J]. 数学学报, 2021, 64(2): 225-230.
[2]吕杰熊金城谭枫. 周期吸附系统的分布混沌[J]. Acta Mathematica Sinica, English Series, 2008, 51(6): 1109-111.
[3]杨润生. 按序列分布混沌与拓扑混合[J]. Acta Mathematica Sinica, English Series, 2002, 45(4): 753-758.



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