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The Retentivity of Chaos under Topological Conjugation

By Tianxiu Lu, Peiyong Zhu and Xinxing Wu

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

Topics: Engineering (General). Civil engineering (General), TA1-2040, Mathematics, QA1-939
Publisher: Hindawi Limited
Year: 2013
DOI identifier: 10.1155/2013/817831
OAI identifier: oai:doaj.org/article:2e35a7cba28c4cd3b740af00aa411079
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