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  • 标题:On local aspects of sensitivity in topological dynamics
  • 本地全文:下载
  • 作者:Lei Liu ; Haitao Li ; Jinli Pang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:280
  • DOI:10.1186/s13662-015-0605-5
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper along with the research on weakly mixing sets and transitive sets, we introduce a local aspect of sensitivity in topological dynamics and give the concept of an s-set. It is shown that a weakly mixing set is an s-set. A transitive set with the set of periodic points being dense is an s-set. In particular, a transitive set is an s-set for interval maps. Moreover, we discuss s-sets for set-valued discrete dynamical systems.
  • 关键词:transitive set ; weakly mixing set ; s-set ; set-valued discrete dynamical system
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