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: a = 3, b = 9, D u 1 = 13.5, D v 1 = 28.95, D u 2 = 50.3, D v 2 = 125.5, α = β = 0.2, Δ ν = Δ μ = 0.0; (b) big-small dot pattern: a = 3, b = 9, D u 1 = 12.65, D v 1 = 31.05, D u 2 = 50.3, D v 2 = 125.5, α = β = 0.25, Δ ν = Δ μ = 0.0; (c) white-eye pattern: a = 3, b = 9, D u 1 = 6.05, D v 1 = 12.85, D u 2 = 50.3, D v 2 = 125.5, α = β = 0.2, Δ ν = Δ μ = 0.0; (d) square pattern: a = 3, b = 9, D u 1 = 6.95, D v 1 = 17.05, D u 2 = 55.3, D v 2 = 147.5, α = β = 0.45, Δ u = 0.03, Δ ν = 0.01; (e) oscillatory pattern: a = 3, b = 9.9, D u 1 = 8.3, D v 1 = 8.3, D u 2 = 46.0, D v 2 = 120.0, α = β = 1.0, Δ ν = Δ μ = 0.0. Ref. [ 11 ].