吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

动力系统的敏感性

刘恒1,2, 廖丽3   

  1. 1. 大连理工大学 数学科学学院, 辽宁 大连 116024; 2. 大连民族学院 数学系, 辽宁 大连 116600;3. 北京应用物理与计算数学研究所, 北京 100094
  • 收稿日期:2013-12-31 出版日期:2014-03-26 发布日期:2014-03-20
  • 通讯作者: 刘恒 E-mail:liuheng_80@163.com

Sensitivity of Dynamical System

LIU Heng1,2, LIAO Li3   

  1. 1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, China;2. Department of Mathematics, Dalian Nationalities University, Dalian 116600, Liaoning Province, China;3. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
  • Received:2013-12-31 Online:2014-03-26 Published:2014-03-20
  • Contact: LIU Heng E-mail:liuheng_80@163.com

摘要:

通过应用族及构造方法给出新的强敏感性定义--thickly syndetic敏感, 证明了极小弱混合系统或非极小M系统thickly syndetic敏感, 并构造实例证明了syndetic敏感不蕴涵thick敏感和thickly syndetic敏感.

关键词: thick敏感性, syndetic敏感性, thickly syndetic敏感性

Abstract:

Using  methods of family and construction, we gave a new definition of stronger sensitivitythickly syndetic sensitivity,  proved that a minimal weakly mixing system or nonminimal Msystem is thickly syndetically sensitive. Also, we constructed a system which is syndetically sensitive but not thickly sensitive and thickly syndetically sensitive.

Key words: thick sensitivity, syndetic sensitivity, thickly syndetic sensitivity

中图分类号: 

  • O189.1