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**Steady-State Brusselator with Diffusion**

The system is the same as the one in WOBexa1.
Scaling the independent variable according to *t*:=*x*/*L* leads to the system of four ODEs of the first order

with boundary conditions

The ordinary differential equations describe the spatial
dependence of the two chemicals *X* and *Y* along a reactor with
length *L*,
.
This Brusselator model
equation has a great number of solutions ; some are
represented in the branching diagram of Figure 1, which depicts
*y*_{2}(0)=*X*'(0) versus .
One nontrivial bifurcation point is found for
,
*y*_{2}(0)=6.275.

Figure 1

Bifurcation diagram *X*'(0) versus

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This Example

Figure 1