Omega chaos and the specification property

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• 作者：Reeve Hunter^a ; ^{Reeve.Hunter@uga.edu} ; Brian E. Raines^b ; ^{brian_raines@baylor.edu}
• 关键词：Chaotic system ; Periodic point ; Shift map ; Symbolic dynamics ; Specification property ; Omega chaos
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：448
• 期：2
• 页码：908-913
• 全文大小：266 K
• 卷排序：448

文摘

In this short paper we consider the connections between the specification property introduced by Bowen and ω  -chaos introduced by Li. We show that if f:X→Xf:X→X is a continuous surjection of a compact metric space with the specification property and uniform expansion near a fixed point then the system (X,f)(X,f) is ω-chaotic.