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)
       
The series of patterns with spatial power spectra are obtained by increasing perturbation coefficient Δ ν and Δ μ (Δ ν = Δ μ ): (a) Δ ν = Δ μ = 0.03, (b) Δ ν = Δ μ = 0.07, (c) Δ ν = Δ μ = 0.08, (d) Δ ν = Δ μ = 0.11, (e) Δ ν = Δ μ = 0.12. The other parameters are: a = 3, b = 9, D u 1 = 1.86, D v 1=4.66, D u 2 = 29.75, D v 2 = 129.25, and α = β = 0.15.