Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (5): 808-813.

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Some Properties of Sensitivity in Nonautonomous Discrete Systems

Lu Tianxiu1,2, Xin Bangying3, Mao Wei1   

  1. 1. School of Mathematics and Statistics, Sichuan University of Science and Engineering, Sichuan Zigong 643000;
    2. Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan Zigong 643000;
    3. School of Automotive and Electronic Engineering, Xichang College, Sichuan Xichang 615013
  • Received:2016-06-20 Revised:2017-03-12 Online:2017-10-26 Published:2017-10-26
  • Supported by:
    Supported by the NSFC (11501391, 61573010), the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (2015RZJ01), the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2014QZJ02, 2015QYJ01) and the Scientific Research Project of Sichuan University of Science and Engineering (2014RC02, 2015RC01)

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Abstract: This paper introduce new definitions of sensitive dependence on initial conditions, Li-Yorke sensitive, and densely Li-Yorke sensitive in nonautonomous discrete systems. The relations between these three concepts are given. Then, necessary and sufficient conditions of sensitivity of compound systems are derived.

Key words: Nonautonomous discrete system, Sensitive dependence on initial conditions, LiYorke sensitive, Densely Li-Yorke sensitive, Compound system

CLC Number: 

  • O415.5
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