TY - JOUR
T1 - Phenomenology of reaction-diffusion binary-state cellular automata
AU - Adamatzky, Andrew
AU - Martínez, Genaro Juárez
AU - Mora, Juan Carlos Seck Tuoh
N1 - Funding Information:
We thank Harold V. McIntosh for inspiration and advice and the British Council in Mexico for financial support for Dr. G. Martínez to visit UWE.
PY - 2006/10
Y1 - 2006/10
N2 - 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 1 depending on if the sum of neighbors in state 1 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 reaction-diffusion like patterns produced as a result of collisions between localizations. Also, we propose a set of rules with complex behavior called Life 2c22.
AB - 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 1 depending on if the sum of neighbors in state 1 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 reaction-diffusion like patterns produced as a result of collisions between localizations. Also, we propose a set of rules with complex behavior called Life 2c22.
KW - Cellular automata
KW - Collisions
KW - Gliders
KW - Reaction diffusion
UR - http://www.scopus.com/inward/record.url?scp=33845543981&partnerID=8YFLogxK
U2 - 10.1142/S0218127406016598
DO - 10.1142/S0218127406016598
M3 - Artículo
AN - SCOPUS:33845543981
SN - 0218-1274
VL - 16
SP - 2985
EP - 3005
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 10
ER -