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DOE OSTI · 22250651

Square Turing patterns in reaction-diffusion systems with coupled layers

Li, Jing·Wang, Hongli·Ouyang, Qi
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Abstract

Square Turing patterns are usually unstable in reaction-diffusion systems and are rarely observed in corresponding experiments and simulations. We report here an example of spontaneous formation of square Turing patterns with the Lengyel-Epstein model of two coupled layers. The squares are found to be a result of the resonance between two supercritical Turing modes with an appropriate ratio. Besides, the spatiotemporal resonance of Turing modes resembles to the mode-locking phenomenon. Analysis of the general amplitude equations for square patterns reveals that the fixed point corresponding to square Turing patterns is stationary when the parameters adopt appropriate values.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSAMPLITUDESDIFFUSIONEQUATIONSLAYERSMODE LOCKINGRESONANCESIMULATION

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Li, Jing, Wang, Hongli, Ouyang, Qi. 2014-06-15. Square Turing patterns in reaction-diffusion systems with coupled layers. https://doi.org/10.1063/1.4875262

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