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. 1974 Jul;71(7):2748-51.
doi: 10.1073/pnas.71.7.2748.

Dissipative structures, catastrophes, and pattern formation: a bifurcation analysis

G Nicolis  1 , J F Auchmuty
Affiliations

Dissipative structures, catastrophes, and pattern formation: a bifurcation analysis

G Nicolis et al. Proc Natl Acad Sci U S A. 1974 Jul.

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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References

    1. J Theor Biol. 1972 Sep;36(3):479-501 - PubMed
    1. Science. 1973 Jun 15;180(4091):1171-3 - PubMed

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