Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis
- 1 July 1974
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 71 (7), 2748-2751
- https://doi.org/10.1073/pnas.71.7.2748
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.Keywords
This publication has 2 references indexed in Scilit:
- Horizontal Bands in the Belousov ReactionScience, 1973
- Morphogenesis and chemical dissipative structures: A computer Simulated Case StudyJournal of Theoretical Biology, 1972