On behavior of two-dimensional cellular automata with 
an exceptional rule under periodic boundary condition

doi:10.1016/S1005-8885(09)60426-X

Acta Metallurgica Sinica(English letters) ›› 2010, Vol. 17 ›› Issue (1): 67-72.doi: 10.1016/S1005-8885(09)60426-X

• Artificial Intelligence • 上一篇下一篇

On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition

翟莹,易忠,邓培民

Department of Mathematics, Guangxi Normal University, Guilin 541004, China

收稿日期:2009-03-30 修回日期:1900-01-01 出版日期:2010-02-28
通讯作者: 翟莹

On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition

ZHAI Ying, YI Zhong, DENG Pei-min

Department of Mathematics, Guangxi Normal University, Guilin 541004, China

Received:2009-03-30 Revised:1900-01-01 Online:2010-02-28
Contact: ZHAI Ying

摘要/Abstract

摘要：

This article deals with the behavior of two-dimensional (2-D) cellular automata (CA) with a special rule under periodic boundary condition by using matrix algebra. The important characteristics of CA have been studied, such as Garden of Eden (GOE), maximal transient length, maximal cycle length and so forth. Several necessary and sufficient conditions are provided, which guarantee a given configuration of being a GOE in different cases. Besides, algorithms are proposed to obtain the number of GOEs, the maximal transient length, and the maximal cycle length in such a CA with the rule mentioned above under periodic condition.

关键词:

cellular;automata,;GOE,;maximal;transient;length,;maximal;cycle;length

Abstract:

Key words:

cellular automata;GOE;maximal transient length;maximal cycle length

ZHAI Ying, YI Zhong, DENG Pei-min. On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition[J]. Acta Metallurgica Sinica(English letters), 2010, 17(1): 67-72.

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On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition

On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition

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On behavior of two-dimensional cellular automata with an exceptional rule under periodic boundary condition

On behavior of two-dimensional cellular automata with an exceptional rule under periodic boundary condition

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On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition

On behavior of two-dimensional cellular automata with
an exceptional rule under periodic boundary condition