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Steady state bifurcation analysis of reaction-diffusion equations-A critique

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Abstract

This note supplies missing details and corrects some mathematical errors in the recent significant paper by Auchmuty and Nicolis (1975).

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Literature

  • Auchmuty, J. F. G. and G. Nicolis. 1975. “Bifurcation Analysis of Nonlinear Reaction-Diffusion Equations I. Evolution Equations and the Steady State Solutions.”Bull. Math. Biol.,37, 323–365.

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  • Nicolis, G. and J. F. G. Auchmuty. 1974. “Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis.”Proc. Natn. Acad. Sci. USA,71, 2748–2751.

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Author notes

  1. Horst E. Wilhelm

    Present address: Department of Electrical Engineering, Colorado State University, Fort Collins, Colorado, U.S.A.

Authors and Affiliations

  1. Department of Bioengineering, University of Cape Town and Groote Schuur Hospital, Cape Town, South Africa

    Terry J. van der Werff & Horst E. Wilhelm

Authors
  1. Terry J. van der Werff
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  2. Horst E. Wilhelm
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van der Werff, T.J., Wilhelm, H.E. Steady state bifurcation analysis of reaction-diffusion equations-A critique. Bltn Mathcal Biology 40, 865–872 (1978). https://doi.org/10.1007/BF02460612

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