oaioai:doaj.org/article:2e35a7cba28c4cd3b740af00aa411079

The Retentivity of Chaos under Topological Conjugation

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Publication date
1 January 2013
Publisher
'Hindawi Limited'
Doi

    Abstract

    The definitions of Devaney chaos (DevC), exact Devaney chaos (EDevC), mixing Devaney chaos (MDevC), and weak mixing Devaney chaos (WMDevC) are extended to topological spaces. This paper proves that these chaotic properties are all preserved under topological conjugation. Besides, an example is given to show that the Li-Yorke chaos is not preserved under topological conjugation if the domain is extended to a general metric space

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