Devaney’s chaotic on induced maps of hyperspace

Let ( X, d) be a metric space and let f : X → X be a continuous map. In Section 2, the relationships among the chaoticity of f ¯ , f ˜ and f are investigated while 2 X , C( X) are taken W e -topology. In Section 3, the relationships among the chaoticity of f ¯ , f ˜ , and f are investigated while X...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 27; no. 2; pp. 471 - 475
Main Authors Zhang, Gengrong, Zeng, Fanping, Liu, Xinhe
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2006
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Summary:Let ( X, d) be a metric space and let f : X → X be a continuous map. In Section 2, the relationships among the chaoticity of f ¯ , f ˜ and f are investigated while 2 X , C( X) are taken W e -topology. In Section 3, the relationships among the chaoticity of f ¯ , f ˜ , and f are investigated while X is a graph.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2005.03.053