Image:Turing bifurcation 3.gif

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[edit] Summary

Image 3 (state at t=100) of a sequence showing a Turing bifurcation from a noisy ground state to a hexagonal state in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, generated by Dr. H. U. Bödeker.

The system reads:

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

with τ = 0.1, d_u² = 0.00028, d_v² = 0.005, κ = - 0.05

and was solved using a finite-element algorithm.

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File history

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	Date/Time	Dimensions	User	Comment
current	11:21, 16 July 2007	257×235 (42 KB)	Huboedeker (Talk \| contribs)	(Image 3 (state at t=100) of a sequence showing a Turing bifurcation from a noisy ground state to a hexagonal state in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, generated by Dr. H. U. Bödeker. The system reads: \partial_t u)
	16:50, 5 July 2007	257×235 (42 KB)	Huboedeker (Talk \| contribs)	(Image 3 of a sequence showing the subcritical Turing bifurcation of a noisy state to a hexagonal pattern in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, by Dr. H. U. Bödeker)
	16:49, 5 July 2007	240×219 (38 KB)	Huboedeker (Talk \| contribs)	(Image 3 of a sequence showing the subcritical Turing bifurcation of a noisy state to a hexagonal pattern in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, by Dr. H. U. Bödeker)
	16:30, 5 July 2007	289×264 (52 KB)	Huboedeker (Talk \| contribs)	(Image 3 of a sequence showing a Turing bifurcation from a noisy ground state to a hexagonal state in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, generated by Dr. H. U. Bödeker.)
	16:22, 5 July 2007	346×316 (70 KB)	Huboedeker (Talk \| contribs)	(Image 3 of a sequence showing a Turing bifurcation from a noisy ground state to a hexagonal state in a two-component reaction-diffusion system of Fitzhugh-Nagumo type, generated by Dr. H. U. Bödeker.)