Scrambled sets of shift operators

Volume 9, Issue 5, pp 2631--2637 http://dx.doi.org/10.22436/jnsa.009.05.59

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Authors

Xinxing Wu - School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, People's Republic of China. Guanrong Chen - Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, People's Republic of China.

Abstract

In this paper, some characterizations about orbit invariants, p-scrambled points and scrambled sets are obtained. Applying these results solves a conjecture and two problems given in [X. Fu, Y. You, Nonlinear Anal., 71 (2009), 2141-2152].

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Keywords

• Li-Yorke chaos
• scrambled (chaotic) set
• shift operator.

MSC

•  54H20
•  26A18
•  37E05

References

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