Complex Shift Dynamics of Some Elementary Cellular Automaton Rules

نویسندگان

  • Junbiao Guan
  • Kaihua Wang
چکیده

This paper presents a discussion of complex shift dynamics of some elementary cellular automaton rules (rules 30, 41, and 110). Equations that show some degree of self-similarity are obtained. It is demonstrated that rules 30, 41, and 110 exhibit Bernoulli shifts and are topologically mixing on one of their own closed invariant subsystems. Furthermore, many complex Bernoulli shifts are explored for finite symbolic sequences with periodic boundary conditions.

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عنوان ژورنال:
  • Complex Systems

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2011