非自治离散系统的分布混沌性

数学物理学报 ›› 2015, Vol. 35 ›› Issue (3): 558-566.

非自治离散系统的分布混沌性

卢天秀¹, 朱培勇², 吴新星²

1. 四川理工学院理学院四川自贡 643000;
2. 电子科技大学数学科学学院成都 611731

收稿日期:2013-12-16 修回日期:2014-06-20 出版日期:2015-06-25 发布日期:2015-06-25
作者简介:卢天秀, lubeeltx@163.com;朱培勇, zpy6940@126.com;吴新星, wuxinxing5201314@163.com
基金资助:
桥梁无损检测与工程计算四川省高校重点实验室开放基金(2014QZJ02)和四川理工学院科研基金(2014RC02)资助

Distributional Chaos in Nonautonomous Discrete Systems

Lu Tianxiu¹, Zhu Peiyong², Wu Xinxing²

1. Department of Mathematics, Sichuan University of Science and Engineering, Sichuan Zigong 643000;
2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731

Received:2013-12-16 Revised:2014-06-20 Online:2015-06-25 Published:2015-06-25

摘要/Abstract

摘要：

该文在非自治离散系统中定义了分布混沌, 研究了映射序列f_n,∞=(f_n, _n+1, …), ∀n∈N (N为自然数集)的混沌行为, 讨论了f_n,∞的分布混沌性是否意味着乘积系统f_n,∞^[m](m为正整数)的分布混沌性, 或者后者的分布混沌性是否意味着前者的分布混沌性.

关键词: 非自治离散系统, 分布混沌, 乘积映射

Abstract:

New definition of distributional chaos in nonautonomous discrete systems is given. This paper studies the chaotic behaviour of sequences f_n,∞=(f_n, _n+1, …), ∀n∈N (N is the set of natural numbers), and discusses that whether the distributional chaoticity of f_n,∞ implies the distributional chaoticity of f_n,∞^[m] (m is a positive integer), or vice versa.

Key words: Nonautonomous discrete systems, Distributional chaos, Compound mappings

中图分类号:

O415.5

卢天秀, 朱培勇, 吴新星. 非自治离散系统的分布混沌性[J]. 数学物理学报, 2015, 35(3): 558-566.

Lu Tianxiu, Zhu Peiyong, Wu Xinxing. Distributional Chaos in Nonautonomous Discrete Systems[J]. Acta mathematica scientia,Series A, 2015, 35(3): 558-566.

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