Abstract
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.
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Communicated by D. D. Joseph
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Schaeffer, D.G., Golubitsky, M.A. Bifurcation analysis near a double eigenvalue of a model chemical reaction. Arch. Rational Mech. Anal. 75, 315–347 (1981). https://doi.org/10.1007/BF00256382
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DOI: https://doi.org/10.1007/BF00256382