Nonsynchronous updating in the multiverse of cellular automata
In this paper we study updating effects on cellular automata rule space. We consider a subset of 6144 order-3 automata from the space of 262144 bidimensional outer-totalistic rules. We compare synchronous to asynchronous and sequential updatings. Focusing on two automata, we discuss how update chang...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Jg. 91; H. 4; S. 042110 |
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01.04.2015
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| Abstract | In this paper we study updating effects on cellular automata rule space. We consider a subset of 6144 order-3 automata from the space of 262144 bidimensional outer-totalistic rules. We compare synchronous to asynchronous and sequential updatings. Focusing on two automata, we discuss how update changes destroy typical structures of these rules. Besides, we show that the first-order phase transition in the multiverse of synchronous cellular automata, revealed with the use of a recently introduced control parameter, seems to be robust not only to changes in update schema but also to different initial densities. |
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| AbstractList | In this paper we study updating effects on cellular automata rule space. We consider a subset of 6144 order-3 automata from the space of 262144 bidimensional outer-totalistic rules. We compare synchronous to asynchronous and sequential updatings. Focusing on two automata, we discuss how update changes destroy typical structures of these rules. Besides, we show that the first-order phase transition in the multiverse of synchronous cellular automata, revealed with the use of a recently introduced control parameter, seems to be robust not only to changes in update schema but also to different initial densities.In this paper we study updating effects on cellular automata rule space. We consider a subset of 6144 order-3 automata from the space of 262144 bidimensional outer-totalistic rules. We compare synchronous to asynchronous and sequential updatings. Focusing on two automata, we discuss how update changes destroy typical structures of these rules. Besides, we show that the first-order phase transition in the multiverse of synchronous cellular automata, revealed with the use of a recently introduced control parameter, seems to be robust not only to changes in update schema but also to different initial densities. In this paper we study updating effects on cellular automata rule space. We consider a subset of 6144 order-3 automata from the space of 262144 bidimensional outer-totalistic rules. We compare synchronous to asynchronous and sequential updatings. Focusing on two automata, we discuss how update changes destroy typical structures of these rules. Besides, we show that the first-order phase transition in the multiverse of synchronous cellular automata, revealed with the use of a recently introduced control parameter, seems to be robust not only to changes in update schema but also to different initial densities. |
| ArticleNumber | 042110 |
| Author | Reia, Sandro M. Kinouchi, Osame |
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| References | N. Fatès (PhysRevE.91.042110Cc15R1) 2010 PhysRevE.91.042110Cc7R1 PhysRevE.91.042110Cc9R1 PhysRevE.91.042110Cc3R1 PhysRevE.91.042110Cc18R1 PhysRevE.91.042110Cc4R1 PhysRevE.91.042110Cc19R1 PhysRevE.91.042110Cc5R1 PhysRevE.91.042110Cc14R1 PhysRevE.91.042110Cc1R1 PhysRevE.91.042110Cc16R1 PhysRevE.91.042110Cc2R1 PhysRevE.91.042110Cc17R1 PhysRevE.91.042110Cc10R1 PhysRevE.91.042110Cc11R1 PhysRevE.91.042110Cc13R1 J. Marro (PhysRevE.91.042110Cc12R1) 1999 E. R. Berlekamp (PhysRevE.91.042110Cc6R1) 1982 B. M. McCoy (PhysRevE.91.042110Cc8R1) 1973 |
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| Title | Nonsynchronous updating in the multiverse of cellular automata |
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