Emergence of complex patterns induced by dynamic systems implemented in dynamic structures (DS)2.
We present the evolution of the simple system of Meinhardt implemented in both static or dynamic two-dimensional structures of almost-squared cells. In a static structure of 8 x 4=32 to 128 x 128=16384 cells, the pattern observed is periodic. An algorithm allows us to divide the cells following the greater size, and to define a dynamic structure. The implementation of the same Meinhardt system in this dynamic structure varying from 32 to 16 384 cells and a context of the same genotypic complexity for the model provides aperiodic patterns, with a higher phenotypic complexity than those observed in static structures, while the number of computations is comparable. We define that emergence occurs each time the ratio of phenotypic/genotypic complexities increases.
Rouault
Jacques-Deric
JD
Laboratoire de neurobiologie de l'apprentissage, de la mémoire et de la communication, CNRS UMR 8620, université Paris-Sud, bât. 446, 91405 Orsay cedex, France. jacques.rouault@ibaic.u-psud.fr
D000465:Algorithms; D001185:Artificial Intelligence; D005838:Genotype; D007700:Kinetics; D008957:Models, Genetic; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D010363:Pattern Recognition, Automated; D010641:Phenotype