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COMPLEX DYNAMICS OF THE ELEMENTARY CELLULAR AUTOMATON RULE 54

JUNBIAO GUAN

School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China

https://doi.org/10.1142/S0129183112500520Cited by:0 (Source: Crossref)

Abstract

This work deals with a discussion of complex dynamics of the elementary cellular automaton rule 54. An equation which shows some degree of self-similarity is obtained. It is shown that rule 54 exhibits Bernoulli shift and is topologically mixing on its closed invariant subsystem. Finally, many complex Bernoulli shifts are explored for the finite symbolic sequences with periodic boundary conditions.

Keywords:

PACS: 47.52.+j, 05.45.Df, 02.10.Ox

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