2006
Adamatzky, A., Martínez, G. J., & Seck-Tuoh-Mora, J. C. (2006). Phenomenology of reaction diffusion binary-state cellular automata. International Journal of Bifurcation and Chaos, 16(10), 2985-3005.
Abstract
We study a binary-cell-state eight-cell neighborhood two-dimensional cellular automaton model of a quasi-chemical system with a substrate and a reagent. Reactions are represented by semitotalistic transitions rules: every cell switches from state 0 to state I depending on if the sum of neighbors in state I belongs to some specified interval, cell remains in state 1 if the sum of neighbors in state 1 belong to another specified interval. We investigate space-time dynamics of 1296 automata, establish morphology-bases classification of the rules, explore precipitating and excitatory cases and scrutinize collisions between mobile and stationary localizations (gliders, cycle life and still-life compact patterns). We explore react ion-diffusion like patterns produced as a result of collisions between localizations. Also, we propose a, set of rules with complex behavior called Life 2c22.
Modeling a Nonlinear Liquid Level System by Cellular Neural Networks
How to Make Dull Cellular Automata Complex by Adding Memory: Rule 126 Case Study
Reproducing the Cyclic Tag System Developed by Matthew Cook with Rule 110 Using the Phases f(i-)1.
Complex Dynamics Emerging in Rule 30 with Majority Memory
Pair Diagram and Cyclic Properties Characterizing the Inverse of Reversible Automata
Elementary cellular automaton Rule 110 explained as a block substitution system
Unconventional invertible behaviors in reversible one-dimensional cellular automata.