D. Schaeffer and M. Golubitsky
Bifurcation Analysis Near a Double Eigenvalue
of a Model Chemical Reaction
Archive Rational Mechanics & Analysis
75 (1981) 315-347.
In this paper we analyze the steady-state bifurcations from
the trivial solution of the reaction-diffusion equations associated
to a model chemical reaction, the so-called Brusselator. The present
analysis concentrates on the case when the first bifurcation is from a
double eigenvalue. The dependence of the bifurcation diagrams on
various parameters and perturbations is analyzed. The results of
reference [2] are invoked to show that further complications in the
model would not lead to new behavior.