Journal ArticleDOI
Collective behaviour in a cellular automaton and isotropy of the neighbourhood
F. Jiménez-Morales,J. J. Luque +1 more
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In this paper, a three dimensional deterministic cellular automata (rule 33) which exhibits a nontrivial quasiperiodic behavior is studied and it is shown that the way in which the neighbours are selected causes the appearance or disappearance of that behaviour.Abstract:
A three dimensional deterministic cellular automata (rule 33) which exhibits a nontrivial quasiperiodic behaviour is studied. We show that the way in which the neighbours are selected causes the appearance or disappearance of that behaviour.read more
Citations
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On Oscillations in Cellular Automata
Jan Hemmingsson,Hans J. Herrmann +1 more
TL;DR: In this article, the authors investigate cellular automata where some global quantity varies periodically or quasiperiodically with time, and find that these systems are highly predictable, and can be rather well described by a set of mean-field variables.
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Non-trivial collective behavior in three-dimensional totalistic illegal cellular automata with high connectivity☆
F. Jiménez-Morales,H. Karma +1 more
TL;DR: In this paper, the collective behavior of totalistic illegal cellular automata rules in d = 3 with high connectivity is studied, and 90 new rules show the non-trivial collective behavior P3 and QP3.
Cellular automata with chaotic rule formation and its characteristics
TL;DR: The present paper introduces a cellular automata and their application with some rules and it is very useful for future references.
Journal ArticleDOI
Intermittent collective behavior in totalistic cellular automata with high connectivity
TL;DR: Using a mean-field approximation and measuring the Shannon information function, this work describes how the space of some totalistic cellular automata (CA) is organized and selects several rules that display an intermittent collective behavior.
References
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Journal ArticleDOI
Statistical mechanics of probabilistic cellular automata.
Journal ArticleDOI
Collective Behaviors in Spatially Extended Systems with Local Interactions and Synchronous Updating
Hugues Chaté,Paul Manneville +1 more
TL;DR: In this article, a large class of cellular automata rules and coupled map lattices of the above type in space dimensions d=2 to 6 were studied, and a new type of non-trivial collective behavior was found, at odds with the predictions of equilibrium statistical mechanics.
Journal ArticleDOI
Stability of temporally periodic states of classical many-body systems.
TL;DR: The unusual dynamical properties of the periodic states stabilized by anisotropy are described and these states are found to be spatially coherent, time-periodic states with short-range interactions.
Journal ArticleDOI
Evidence of Collective Behaviour in Cellular Automata
Hugues Chaté,Paul Manneville +1 more
TL;DR: In this paper, a nontrivial collective behavior occurring in cellular automata for rather high space dimensions is investigated numerically and evidence is given that this dynamical state is neither transient nor due to the finite size of the lattice.
Journal ArticleDOI
Noisy collective behaviour in deterministic cellular automata
TL;DR: Though being fully deterministic, the average magnetization seems to be periodic respectively quasiperiodic, with superimposed noise whose amplitude decreases with system size, which is confirmed on very large systems and over very large times.