The Retentivity of Chaos under Topological Conjugation

Tianxiu Lu, Peiyong Zhu and Xinxing Wu

Mathematical Problems in Engineering, 2013, vol. 2013, 1-4

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:817831

DOI: 10.1155/2013/817831

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