COMPLEX DYNAMICS OF THE ELEMENTARY CELLULAR AUTOMATON RULE 54

Junbiao Guan ()
Additional contact information
Junbiao Guan: School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 07, 1-9

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: Elementary cellular automaton; rule 54; symbolic dynamics; dynamical system; 47.52.+j; 05.45.Df; 02.10.Ox (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183112500520
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:23:y:2012:i:07:n:s0129183112500520

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183112500520

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().