the retentivity of chaos under topological conjugation

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ID: 148999
2013
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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.
Reference Key
lu2013mathematicalthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Tianxiu Lu;Peiyong Zhu;Xinxing Wu
Journal journal of power sources
Year 2013
DOI
10.1155/2013/817831
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