Geodesic
A method for construction of cellular automata simulating pattern formation processes
Prikladnaâ diskretnaâ matematika, no. 4 (2010), pp. 91-99

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A method for constructing Cellular Automata (CA) which simulate self-organizing process of stable patterns formation is proposed. The method is based on parallel composition of two CA. Two basic cases are considered: 1) when one CA operates independently having a controlling influence on the other CA behavior; 2) when both CA interact at each iteration step. The method is illustrated by the computer simulation results for two selforgzanizing systems: pattern formation on heated surface and achieving balance between prey and predator.
Keywords: mathematical modelling, cellular automata, selforganization.
Mots-clés : dissipative structures 
@article{PDM_2010_4_a9,
     author = {O. L. Bandman},
     title = {A method for construction of cellular automata simulating pattern formation processes},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {91--99},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_4_a9/}
}
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O. L. Bandman. A method for construction of cellular automata simulating pattern formation processes. Prikladnaâ diskretnaâ matematika, no. 4 (2010), pp. 91-99. http://geodesic.mathdoc.fr/item/PDM_2010_4_a9/