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All Outputs (7)

Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton (2010)
Journal Article
Martínez, G. J., Adamatzky, A., Zhang, L., & Wuensche, A. (2010). Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton. Mathematical and Computer Modelling, 52(1-2), 177-190. https://doi.org/10.1016/j.mcm.2010.02.006

We study transformations of 2-, 4- and 6-bit numbers in interactions between traveling and stationary localizations in the Spiral Rule reaction-diffusion cellular automaton. The Spiral Rule automaton is a hexagonal ternary-state two-dimensional cellu... Read More about Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton.

How to make dull cellular automata complex by adding memory: Rule 126 case study (2010)
Journal Article
Seck-Tuoh-Mora, J. C., Martínez, G. J., Adamatzky, A., Mora, J. C., & Alonso-Sanz, R. (2010). How to make dull cellular automata complex by adding memory: Rule 126 case study. Complexity, 15(6), 34-49. https://doi.org/10.1002/cplx.20311

Using Rule 126 elementary cellular automaton (ECA), we demonstrate that a chaotic discrete system - when enriched with memory - hence exhibits complex dynamics where such space exploits on an ample universe of periodic patterns induced from original... Read More about How to make dull cellular automata complex by adding memory: Rule 126 case study.

On generative morphological diversity of elementary cellular automata (2010)
Journal Article
Adamatzky, A., & Martinez, G. J. (2010). On generative morphological diversity of elementary cellular automata. Kybernetes, 39(1), 72-82. https://doi.org/10.1108/03684921011021282

Purpose: Studies in complexity of cellular automata do usually deal with measures taken on integral dynamics or statistical measures of space-time configurations. No one has tried to analyze a generative power of cellular-automaton machines. The purp... Read More about On generative morphological diversity of elementary cellular automata.

Complex dynamics emerging in Rule 30 with majority memory (2010)
Journal Article
Martinez, G. J., Adamatzky, A., Alonso-Sanz, R., & Mora, J. C. (2010). Complex dynamics emerging in Rule 30 with majority memory. Complex Systems -Champaign-, 18(3), 345-365

In cellular automata with memory, the unchanged maps of the conventional cellular automata are applied to cells endowed with memory of their past states in some specified interval. We implement Rule 30 automata with a majority memory and show that usi... Read More about Complex dynamics emerging in Rule 30 with majority memory.

Localization dynamics in a binary two-dimensional cellular automaton: The Diffusion Rule (2010)
Journal Article
Martinez, G. J., Adamatzky, A., & McIntosh, H. V. (2010). Localization dynamics in a binary two-dimensional cellular automaton: The Diffusion Rule. Journal of Cellular Automata, 5(4-5), 289-313

We study a two-dimensional cellular automaton (CA), called Diffusion Rule (DR), which exhibits diffusion-like dynamics of propagating patterns. In computational experiments we discover a wide range of mobile and stationary localizations (gliders, osc... Read More about Localization dynamics in a binary two-dimensional cellular automaton: The Diffusion Rule.

Majority adder implementation by competing patterns in life-like rule B2/S2345 (2010)
Journal Article
Martinez, G. J., Morita, K., Adamatzky, A., & Margenstern, M. (2010). Majority adder implementation by competing patterns in life-like rule B2/S2345. Lecture Notes in Artificial Intelligence, 6079, 93-104

In this paper we present a two-dimensional chaotic cellular automaton, the Life rule B2/S2345, able to simulate the action of an adder with majority gates, stimulated by gliders collisions transformed as competing patterns. Values of Boolean variable... Read More about Majority adder implementation by competing patterns in life-like rule B2/S2345.