title: Parametric pattern selection in a reaction-diffusion model.
abstract: 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 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 effects of the different pattern pathways.
authors.affiliation: Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts, United States of America.
authors.forename: Michael
authors.initials: M
authors.lastname: Stich
authors.forename: Gourab
authors.initials: G
authors.lastname: Ghoshal
authors.forename: Juan
authors.initials: J
authors.lastname: Pérez-Mercader
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D015233:Models, Statistical; D062211:Spatio-Temporal Analysis