Toroidal field normalised to B₀ (left panel) and differential rotation normalised to Ω₀ (right panel), respectively rescaled by and , as a function of the stretched coordinate ξ = H_a(r₀−r). The curves are plotted at θ = π/4 for various Re_c and L_u with no contraction term in the induction equation. We thus have Re_c = 1, L_u = 5 ⋅ 10³ in green, Re_c = 1, L_u = 10⁴ in light blue, Re_c = 1, L_u = 5 ⋅ 10⁴ in blue, Re_c = 5, L_u = 10⁴ in purple, and Re_c = 5, L_u = 5 ⋅ 10⁴ in black. The other parameters are E = 10⁻⁴, P_r(N₀/Ω₀)² = 10⁴, and P_m = 10² (runs D3 to D7 of Table 1).