Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis

  1. G. Nicolis* and
  2. J. F. G. Auchmuty†
  1. *Faculté des Sciences, Université Libre de Bruxelles, Belgium
  2. †Department of Mathematics, Indiana University, Bloomington, Ind.

Abstract

A model chemical network involving reactions and diffusion is studied. Spatially and temporally ordered solutions of the equations are found by bifurcation theory. These solutions are calculated analytically and their stability is studied. Properties of these dissipative structures are discussed, and a comparison with Thom's theories of morphogenesis is outlined.

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  1. PNAS 1974-07 vol. 71 no. 7 2748-2751
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