Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841908 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 5 Pages |
Abstract
We discuss the relation between Devaney chaos in the base system and Devaney chaos in its induced hyperspace system. We show that the latter need not implies the former. We also argue that this implication is not true even in the strengthened condition. Additionally we give an equivalent condition for periodic density in the hyperspace system.
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Authors
Bingzhe Hou, Xianfeng Ma, Gongfu Liao,