关于非自治离散系统中敏感性的一些结论

数学物理学报 ›› 2017, Vol. 37 ›› Issue (5): 808-813.

关于非自治离散系统中敏感性的一些结论

卢天秀^1,2, 辛邦颖³, 毛巍¹

1. 四川理工学院数学与统计学院四川自贡 643000;
2. 人工智能四川省重点实验室四川自贡 643000;
3. 西昌学院汽车与电子工程学院四川西昌 615013

收稿日期:2016-06-20 修回日期:2017-03-12 出版日期:2017-10-26 发布日期:2017-10-26
通讯作者: 卢天秀,E-mail:lubeeltx@163.com E-mail:lubeeltx@163.com
作者简介:辛邦颖,E-mail:xinby3272@sina.com
基金资助:
国家自然科学基金（11501391，61573010）、人工智能四川省重点实验室开放基金（2015RZJ01）、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（2014QZJ02，2015QYJ01）和四川理工学院科研基金（2014RC02，2015RC01）

Some Properties of Sensitivity in Nonautonomous Discrete Systems

Lu Tianxiu^1,2, Xin Bangying³, Mao Wei¹

1. School of Mathematics and Statistics, Sichuan University of Science and Engineering, Sichuan Zigong 643000;
2. Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan Zigong 643000;
3. School of Automotive and Electronic Engineering, Xichang College, Sichuan Xichang 615013

Received:2016-06-20 Revised:2017-03-12 Online:2017-10-26 Published:2017-10-26
Supported by:
Supported by the NSFC (11501391, 61573010), the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (2015RZJ01), the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2014QZJ02, 2015QYJ01) and the Scientific Research Project of Sichuan University of Science and Engineering (2014RC02, 2015RC01)

摘要/Abstract

摘要： 该文在一类非自治离散系统中定义了对初值敏感依赖，Li-Yorke敏感和稠Li-Yorke敏感，给出了三者之间的关系.然后得到了复合系统的敏感性的充要条件.

关键词: 非自治离散系统, 对初值敏感依赖, Li-Yorke敏感, 稠Li-Yorke敏感, 复合系统

Abstract: This paper introduce new definitions of sensitive dependence on initial conditions, Li-Yorke sensitive, and densely Li-Yorke sensitive in nonautonomous discrete systems. The relations between these three concepts are given. Then, necessary and sufficient conditions of sensitivity of compound systems are derived.

Key words: Nonautonomous discrete system, Sensitive dependence on initial conditions, LiYorke sensitive, Densely Li-Yorke sensitive, Compound system

中图分类号:

O415.5

卢天秀, 辛邦颖, 毛巍. 关于非自治离散系统中敏感性的一些结论[J]. 数学物理学报, 2017, 37(5): 808-813.

Lu Tianxiu, Xin Bangying, Mao Wei. Some Properties of Sensitivity in Nonautonomous Discrete Systems[J]. Acta mathematica scientia,Series A, 2017, 37(5): 808-813.