Image:Reaction diffusion target.gif

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[edit] Summary

Target pattern (numerical calculation) in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, produced by Dr. H. U. Bödeker.

The system reads


\begin{array}{rl}
    \partial_t u &= d_u^2 \Delta u + \lambda u -u^3 - v + \kappa,\\
\tau \partial_t v &= d_v^2 \Delta v + u - v
\end{array}

with λ = 0.9, τ = 4.0, du2 = 0.000964, dv2 = 0.0001, κ = 0, no-flux boundary conditions have been used.

The image is a snapshot of a periodically repeating sequence in which the center of the target pattern oscillates while the individual rings propagate from the center to the domain boundary. A finite-element algorithm was used in the calculation.

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Date/TimeDimensionsUserComment
current09:56, 6 July 2007265×235 (39 KB)Huboedeker (Talk | contribs) (Target pattern (numerical calculation) in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, produced by Dr. H. U. Bödeker.)

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