Relations between distributional, Li–Yorke and ω chaos ☆
Relations between distributional, Li–Yorke and ω chaos ☆
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DOI：
10.1016/j.chaos.2005.08.005
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发表时间：
2006-05
影响因子：
7.8
通讯作者：
J. L. Guirao;M. Lampart
中科院分区：
文献类型：
--
作者：
J. L. Guirao;M. Lampart
许多作者研究了分布概念、Li-yorke概念和ω混沌概念之间的强迫关系。在这篇文章中，我们总结了这三种不同类型的混沌之间的所有已知联系，并通过在紧完备集上构造一个自映射来实现一般紧度量空间的结果，该紧完备集是ω混沌的，不是分布混沌的，并且拓扑熵为零。
The forcing relations between notions of distributional, Li–Yorke and ω chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the results for general compact metric spaces by the construction of a selfmap on a compact perfect set which is ω chaotic, not distributionally chaotic and has zero topological entropy.