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Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems

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Abstract

The development of one-dimensional Turing patterns characteristic of the chlorite-iodide-malonic acid/starch reaction as well as analogous Brussellator/immobilizer and Schnackenberg/immobilizer model systems is investigated by means of a weakly nonlinear stability analysis applied to the appropriately scaled governing equations. Then the theoretical predictions deduced from these pattern formation studies are compared with experimental evidence relevant to the Turing diffusive instabilities under examination in order to explain more fully the transition to such stationary symmetry-breaking spatial structures when the temperature or pool species concentrations vary.

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  1. Department of Pure and Applied Mathematics, Washington State University, 99164-3113, Pullman, Washington, USA

    Laura E. Stephenson & David J. Wollkind

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  1. Laura E. Stephenson
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  2. David J. Wollkind
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Stephenson, L.E., Wollkind, D.J. Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems. J. Math. Biol. 33, 771–815 (1995). https://doi.org/10.1007/BF00187282

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  • DOI: https://doi.org/10.1007/BF00187282

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