Conventional and unconventional Turing patterns
- 1 January 1992
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 96 (1) , 664-673
- https://doi.org/10.1063/1.462450
Abstract
The formation of two‐dimensional Turing patterns in nonequilibrium chemical systems is studied by numerical simulations with an activator‐substrate depletion model. The relative stabilities of the different hexagonal patterns and the striped patterns are discussed, in particular in the vicinity of the transition, and compared with the present state theory. The generic instabilities of the striped patterns are evidenced. In particular, we report the formation of stable zigzag patterns which share features both of one‐dimensional and two‐dimensional patterns. We also provide examples of temporal evolution in a weakly confined system.Keywords
This publication has 27 references indexed in Scilit:
- Simple chemical reaction systems with limit cycle behaviourPublished by Elsevier ,2004
- Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction SystemScience, 1991
- What is the status of reaction-diffusion theory thirty-four years after Turing?Journal of Theoretical Biology, 1987
- Dissipative structures and morphogenetic pattern in unicellular algaePhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1981
- Fluctuations near nonequilibrium phase transitions to nonuniform statesPhysical Review A, 1980
- Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equationsNumerische Mathematik, 1979
- The Eckhaus and Benjamin-Feir resonance mechanismsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- General Hopscotch Algorithm for the Numerical Solution of Partial Differential EquationsIMA Journal of Applied Mathematics, 1971
- Distant side-walls cause slow amplitude modulation of cellular convectionJournal of Fluid Mechanics, 1969
- The chemical basis of morphogenesisPhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1952