Journal of Jilin University Science Edition

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Sensitivity of Dynamical System

LIU Heng1,2, LIAO Li3   

  1. 1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, China;2. Department of Mathematics, Dalian Nationalities University, Dalian 116600, Liaoning Province, China;3. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
  • Received:2013-12-31 Online:2014-03-26 Published:2014-03-20
  • Contact: LIU Heng E-mail:liuheng_80@163.com

Abstract:

Using  methods of family and construction, we gave a new definition of stronger sensitivitythickly syndetic sensitivity,  proved that a minimal weakly mixing system or nonminimal Msystem is thickly syndetically sensitive. Also, we constructed a system which is syndetically sensitive but not thickly sensitive and thickly syndetically sensitive.

Key words: thick sensitivity, syndetic sensitivity, thickly syndetic sensitivity

CLC Number: 

  • O189.1