Parametric pattern selection in a reaction-diffusion model.
Parametric pattern selection in a reaction-diffusion model.
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We compare spot patterns generated by Turing mechanisms with those generated by replication cascades, in a model one-dimensional reaction-diffusion system.We determine the stability region of spot solutions in parameter space as a function of a better waters xl7000 natural control parameter (feed-rate) where degenerate patterns with different numbers of spots coexist for a fixed feed-rate.While it is possible to generate identical patterns via both mechanisms, we show that replication cascades lead to a wider choice of pattern profiles that can be selected through a tuning of the feed-rate, exploiting hysteresis and directionality superdry baseball top effects of the different pattern pathways.
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