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

G. Nìcolis | Zendy; J. F. G. Auchmuty | Zendy

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

Author(s) -

G. Nìcolis,

J. F. G. Auchmuty

Publication year - 1974

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.71.7.2748

Subject(s) - dissipative system , bifurcation , bifurcation theory , reaction–diffusion system , statistical physics , diffusion , stability (learning theory) , pattern formation , classical mechanics , physics , mathematics , thermodynamics , computer science , nonlinear system , biology , genetics , quantum mechanics , machine learning

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 thesedissipative structures are discussed, and a comparison with Thom's theories of morphogenesis is outlined.

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