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Bifurcation analysis near a double eigenvalue of a model chemical reaction

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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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Authors and Affiliations

  1. Department of Mathematics, Duke University, Durham, North Carolina

    David G. Schaeffer & Martin A. Golubitsky

  2. Department of Mathematics, Arizona State University, Tempe, Arizona

    David G. Schaeffer & Martin A. Golubitsky

Authors
  1. David G. Schaeffer
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  2. Martin A. Golubitsky
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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

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