复扇形指标集上的分布混沌

数学物理学报 ›› 2017, Vol. 37 ›› Issue (5): 950-961.

复扇形指标集上的分布混沌

姚玉武, 陈秀, 牛欣

合肥学院数学与物理系合肥 230601

收稿日期:2016-05-12 修回日期:2017-01-19 出版日期:2017-10-26 发布日期:2017-10-26
作者简介:姚玉武,E-mail:yyw@hfuu.edu.cn;陈秀,E-mail:Chenx@hfuu.edu.cn;牛欣,E-mail:Niux@hfuu.edu.cn
基金资助:
安徽高校自然科学研究重点项目（KJ2015A253）和安徽省自然科学基金项目（1708085QA12）

Distributional Chaos on Complex Sectors

Yao Yuwu, Chen Xiu, Niu Xin

Department of Mathematics & Physics, Hefei University, Hefei 230601

Received:2016-05-12 Revised:2017-01-19 Online:2017-10-26 Published:2017-10-26
Supported by:
Supported by the Science Foundation of Department of Education of Anhui Province (KJ2015A253) and the Natural Science Foundation of Anhui Province (1708085QA12)

摘要/Abstract

摘要： 该文刻画了具有扇形指标集的转移半群在权函数空间中上的稠密分布混沌.由相容权函数的可积性，以及指标集子集的上稠性，对转移半群的分布混沌性给出了一个充分条件.此外，该文还对指标集进行了讨论，给出了转移半群在指标集的某些子集上也是分布混沌的.

关键词: Banach空间, 布混沌, 转移半群, 复扇形

Abstract: We characterize the densely distributional chaos for the translation semigroup, with a sector in the complex plane as index set, defined on a weighted function space. A sufficient condition is given for the translation semigroup to be distributionally chaotic in terms of the the integrability of the admissible weight function, and in terms of the upper density of a subset of the index set. In addition, we study the index set and show that the translation semigroup is also distributionally chaotic on some subsets of the index set.

Key words: Banach space, Distributional chaos, Translation semigroup, Complex sector

中图分类号:

姚玉武, 陈秀, 牛欣. 复扇形指标集上的分布混沌[J]. 数学物理学报, 2017, 37(5): 950-961.

Yao Yuwu, Chen Xiu, Niu Xin. Distributional Chaos on Complex Sectors[J]. Acta mathematica scientia,Series A, 2017, 37(5): 950-961.

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