Turing instability in a boundary-fed system
نویسندگان
چکیده
منابع مشابه
Turing instability in a boundary-fed system
The formation of localized structures in the chlorine dioxide-idodine-malonic acid ~CDIMA! reactiondiffusion system is investigated numerically using a realistic model of this system. We analyze the onedimensional patterns formed along the gradients imposed by boundary feeds, and study their linear stability to symmetry-breaking perturbations ~Turing instability! in the plane transverse to thes...
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1. Growing modes in a reaction-diffusion system In this section we summarize the classical linear Turing instability criterion for a reaction-diffusion system. Consider a reaction-diffusion system of 2-species as ∂U ∂t = ∇ · (D1 (U,V )∇U) + f (U,V ) , (1.1) ∂V ∂t = ∇ · (D2 (U,V )∇V ) + g (U,V ) , where U (x,t) ,V (x,t) are concentration for species, D1, D2 diffusion coefficients, f, g reaction ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.4485