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  • 标题:Chaotic Properties in the Sense of Furstenberg Families in Set-Valued Discrete Dynamical Systems
  • 本地全文:下载
  • 作者:Xiaofang Yang ; Yongxi Jiang ; Tianxiu Lu
  • 期刊名称:Open Journal of Applied Sciences
  • 印刷版ISSN:2165-3917
  • 电子版ISSN:2165-3925
  • 出版年度:2021
  • 卷号:11
  • 期号:3
  • 页码:343-353
  • DOI:10.4236/ojapps.2021.113025
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:Let be a non-autonomous discrete system and  be a set-valued discrete system induced by it. Where, is the space formed by all non-empty compact subsets of X endowed with the Hausdorff metric H, is a set-valued mapping sequence induced by . It is proved that  is -chaos, then  is -chaos. Where -chaos is denoted to -sensitive, -sensitive, -transitive, -accessible, -weakly mixing, -m-sensitive, infinitely sensitive, or syndetically transitive.
  • 关键词:Furstenberg Family;Non-Autonomous Discrete System;F -Sensitive;F -Transitive;F -Accessible;F -Weakly Mixing;F -m-Sensitive
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