Numerical simulation and analysis of complex patterns in a two-layer coupled reaction diffusion system*
Li Xin-Zhenga), Bai Zhan-Guoa)†, Li Yana), He Ya-Fengb), Zhao Kuna)
       
Different patterns with 2D Fourier spectrum. The parameters (a) black-eye pattern: D u 1 = 6.55, D v 1 = 13.8, D u 2= 22.5, D v 2 = 65.5, α = 0.08, β = 0.02; (b) white-eye pattern: D u 1 = 2.95, D v 1 = 6.15, D u 2 = 22.5, D v 2 = 65.5, α = 0.08, β = 0.02; (c) I-big–small dot pattern: D u 1 = 5.0, D v 1 = 19.75, D u 2 = 22.95, D v 2 = 355.5, α = β = 0.03; (d) II-big–small dot pattern: D u 1 = 7.22, D v 1 = 18.2, D u 2 = 31.93, D v 2 = 255.15, α = β = 0.02; (e) honeycomb pattern: D u 1 = 6.1, D v 1 = 16.78, D u 2 = 62.5, D v 2 = 437.53, α = β = 0.03. The other parameters: a = 3, b = 9, Δ μ = 0.03, and Δ ν = 0.01.