The asymptotic speed of reaction fronts in active reaction–diffusion systems
نویسندگان
چکیده
منابع مشابه
Variational principle for the asymptotic speed of fronts of the density-dependent diffusion-reaction equation.
We show that the minimal speed for the existence of monotonic fronts of the equation ut = (u )xx + f(u) with f(0) = f(1) = 0, m > 1 and f > 0 in (0, 1), derives from a variational principle. The variational principle allows to calculate, in principle, the exact speed for general f . The case m = 1 when f (0) = 0 is included as an extension of the results.
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We study a sigmoidal version of the FitzHugh-Nagumo reaction-diffusion system based on an analytic description using piecewise linear approximations of the reaction kinetics. We completely describe the dynamics of wave fronts and discuss the properties of the speed equation. The speed diagrams show front bifurcations between branches with one, three, or five fronts that differ significantly fro...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2019
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab1d8d