| Sub-classes and evolution stability of Wolfram's classesin the total-rule cellular automata |
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| 作者姓名： | YAN Guangwu TIAN Feng DONG Yinfeng |
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| 作者单位： | College of Mathematics, Jilin University, Changchun 130012, China,College of Mathematics, Jilin University, Changchun 130012, China,College of Mathematics, Jilin University, Changchun 130012, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 60274064) |
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| 摘 要： | In this paper, we propose a concept of sub-classes and its evolution stability for the Wolfram's classes. Firstly, we obtain the sub-classes of the Wolfram's class IV, gene-piece of these sub-classes and their existing circumstance. Secondly, we introduce a new concept, the evolution stability, for the Wolfram's classes and sub-classes of Wolfram's class IV. Lastly, we find that Wolfram's classes I, II, and III have the evolution stability, but sub-classes of the Wolfram's class IV have not the evolution stability for the total rule cellular automata.
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| 关 键 词： | cellular automata Wolfram's class IV sub-classes evolution stability |
Sub-classes and evolution stability of Wolfram's classesin the total-rule cellular automata |
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| YAN Guangwu,TIAN Feng,DONG Yinfeng.Sub-classes and evolution stability of Wolfram''s classesin the total-rule cellular automata[J].Progress in Natural Science,2004,14(12):1122-1125. |
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| Authors: | Yan Guangwu TIAN Feng Dong Yinfeng |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | In this paper, we propose a concept of sub-classes and its evolution stability for the Wolfram's classes. Firstly, we obtain the sub-classes of the Wolfram's class IV, gene-piece of these sub-classes and their existing circumstance. Secondly, we introduce a new concept, the evolution stability, for the Wolfram's classes and sub-classes of Wolfram's class IV. Lastly, we find that Wolfram's classes I, II, and III have the evolution stability, but sub-classes of the Wolfram's class IV have not the evolution stability for the total rule cellular automata. |
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| Keywords: | cellular automata Wolfram's class IV sub-classes evolution stability |
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