A class of reaction-diffusion mechanisms which preferentially select striped patterns

Chemical Physics Letters 183 (1,2):158-164 (1991)
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Reaction-diffusion systems which have reaction term satisfying f(-q) = -f(q) tend strongly to form striped patterns. Haken’s slaving principle is used to derive differential equations for unstable mode amplitudes close to the Turing instability. This connects a dynamical symmetry to pattern selection, with possible relevance to biological and chemical pattern-forming phenomena.

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Michael Lyons
Ritsumeikan University


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