MS#63. Cellular Dynamata and Morphogenesis, 1992
Preprint, February, 1992.
Subjects: Cellular dynamics
Written: 25 February 1992
Abstract: A reaction-diffusion system (such as the models of Fick, Fisher, Kolmogorov-Petrovsky-Piskunov, Rashevsky and Turing) is discretized by Southwell's relaxation method, to obtain a cellular dynamaton, a complex dynamical system similar to a cellular automaton. This is then coupled to a spatial array of identical dynamical schemes, in the style of Thom and Zeeman, to provide pedagogic examples of complex dynamical systems of coupled cellular dynamata, which are capable of morphogenesis. Some practical problems of numerical simulation are discussed.
[PDF] 25 pages, 1.8 MB

Last revised by Ralph Abraham