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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
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