OurBigBook.comSite Source code

Turing threshold of the Brusselator

When

u

and

v

have diffusivities

D

and

1

, respectively, and the homogeneous Brusselator equilibrium is stable, a Turing instability occurs precisely when

β > (1 + α D)^{2} .

At onset,

D_{c} = \frac{( β - 1 ) ^{2}}{α ^{2}}, k_{*}^{2} = \frac{α ^{2}}{β - 1} .

 Ancestors (8)

 Incoming links (1)

Solution