Identification of the transition rule in a modified cellular automata model: The case of dendritic NH4BR crystal growth

A method of identifying the transition rule, encapsulated in a modified cellular automata (CA)model, is demonstrated using experimentally observed data of the evolution of dendritic crystalgrowth patterns in NH4Br crystals. The influence of the factors, such as experimental set-up andimage preprocessing, color and size calibrations, on the method of identification are discussedin detail. A noise reduction parameter and the diffusion velocity of the crystal boundary arealso considered. The results show that the proposed method can in principle provide a goodrepresentation of the dendritic growth anisotropy.

International Journal of Bifurcation and Chaos, 19(07), 2295–2305. World Scientific Publishing