We continue the study of cellular automata (CA) directional dynamics, \ie the behavior of the joint action of CA and shift maps. This notion has been investigated for general CA in the case of expansive dynamics by Boyle and by Sablik for sensitivity and equicontinuity. In this paper we give a detailed classification for the class of additive CA providing non-trivial examples for some classes of Sablik's classification. Moreover, we extend the directional dynamics studies by considering also factor languages and attractors.
Dennunzio, A., Di Lena, P., Formenti, E., Margara, L. (2008). Classification of directional dynamics for additive cellular automata. In JAC 2008 (pp.40-53). MCCME Publishing House.
Classification of directional dynamics for additive cellular automata
DENNUNZIO, ALBERTO;
2008
Abstract
We continue the study of cellular automata (CA) directional dynamics, \ie the behavior of the joint action of CA and shift maps. This notion has been investigated for general CA in the case of expansive dynamics by Boyle and by Sablik for sensitivity and equicontinuity. In this paper we give a detailed classification for the class of additive CA providing non-trivial examples for some classes of Sablik's classification. Moreover, we extend the directional dynamics studies by considering also factor languages and attractors.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
