Fig 4. Turing instability for different values of w₀ and μ_v.

Level lines of {max Re λ(k)} for different values of parameters and wave number (see supplementary equation (S1.3.9) for details). By definition, any vertical cross-section of the map gives a dispersion curve (similar to Fig 2). Dashed area indicates parameter values for which real parts of Lyapunov coefficients are positive and thus Turing instability can occur. The following model parameters were used for the development of the maps: k₁ = 1, k₋₁ = 0.1, D = 0.1, ρ = 0.6, μ_u = 0.05 and w₀ = 7 (a) or μ_v = 0.08 (b).