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

Lyons, Michael et al. · 1991
PhilArchive · Papers · 1991
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philosophy
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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