Bifurcation Analysis near a Double Eigenvalue of a Model Chemical Reaction

@inproceedings{Schaeffer2004BifurcationAN,
title={Bifurcation Analysis near a Double Eigenvalue of a Model Chemical Reaction},
author={David G. Schaeffer and Martin Golubitsky},
year={2004}
}

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… CONTINUE READING