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Non-primitive Substitutions of Two Symbols and Chaos

LIAO Gongfu1,2, CHEN Zhizhi2   

  1. 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-01-23 Revised:1900-01-01 Online:2008-05-26 Published:2008-05-26
  • Contact: LIAO Gongfu

Abstract: Having investigated the subshifts induced by those non-primitive constantlength substitutions on two symbols, we gave an equivalent condition for such a subshift to be LiYorke chaotic and proved that each of the subshifts has no distributively scrambled sets.

Key words: substitution, subshift, LiYorke chaos, distributively scrambled set

CLC Number: 

  • O199.1