文章基本信息

标题：On local aspects of sensitivity in topological dynamics
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作者：Lei Liu ; Haitao Li ; Jinli Pang 等
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