Dissipative structures in two dimensions.

Biophysical Chemistry
T Erneux, M Herschkowitz-Kaufman

Abstract

Some further results on dissipative structures for one- and, more particularly, for two-dimensional bounded systems are presented. A model chemical network involving reactions and diffusion is investigated. The influence of the boundary conditions (no fluxes or fixed concentrations), the geometrical shape of the limits (circular or rectangular) and the size of the system on the variety of possible patterns is demonstrated. A comparison of the numerical results with bifurcation theory is outlined. Finally, the problem of multiplicity of stable ordered solutions which turns out to increase sharply from one to two dimensions, is discussed.

References

Oct 19, 1973·Nature·S R CaplanN J Zabusky
Aug 30, 1969·Nature·I PrigogineM Herschkowitz-Kaufman
Jun 26, 1981·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·A Boiteux, B Hess
Jul 1, 1974·Proceedings of the National Academy of Sciences of the United States of America·G Nicolis, J F Auchmuty
Feb 11, 1972·Science·A T Winfree

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Citations

Feb 21, 1979·Journal of Theoretical Biology·T C Lacalli, L G Harrison

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