Johnson circles: Difference between revisions

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== Summary ==
Image 2 (state at t=10) 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:
:<math>
\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}
</math>
with ''&tau;'' = 0.1, ''d<sub>u</sub><sup>2</sup>'' = 0.00028, ''d<sub>v</sub><sup>2</sup>'' = 0.005, ''&kappa;'' = - 0.05
and was solved using a finite-element algorithm.
== Licensing ==
{{self|GFDL|cc-by-sa-2.5,2.0,1.0|migration=relicense}}
== Licensing ==
{{self|GFDL|cc-by-sa-2.5,2.0,1.0|migration=relicense}}
{{Copy to Wikimedia Commons|bot=Fbot|priority=true}}

Latest revision as of 12:04, 5 May 2014