Journal of Jilin University Science Edition

Previous Articles     Next Articles

Hyperspace System Induced by a Class of Non-primitive Substitution

WANG Wei1, LI Jian1, ZHU Xiaogang2, LIAO Menglan3, LI Junjie1   

  1. 1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China;2. Institute of Changchun Engineering Technology, Changchun 130117, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2014-07-02 Online:2014-11-26 Published:2014-12-11
  • Contact: WANG Wei E-mail:maggie0403@126.com

PDF (PC)

201

Like

Abstract:

We discussed Li-Yorke chaotic properties for hyperspace systems induced by nonprimitive substitutions on two symbols. With the help of the conditions of containing Li-Yorke chaotic sets in the substitution system, we obtained the conditions for the hyperspace systems to contain Li-Yorke chaotic sets and not to contain Li-Yorke chaotic sets.

Key words: non-primitive substitution, hyperspace system, Li-Yorke chaos

CLC Number: 

  • O189
Copyright © Journal of Jilin University Science Edition, All Rights Reserved.
Tel: +86-431-88499428　E-mail: sejuj@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd