(a) Total magnetic energy as a function of time (in black) versus the radius of ⟨u_ϕ⟩_ϕ^max in the equatorial plane (θ = π/2), in blue. The large radii correspond to a three-layer rotation, while low values denote anti-solar rotation (compare Figures 5c,d). (b) The magnitude of the zonal flow, Δu_ϕ^eq = |⟨u_ϕ⟩^max − ⟨u_ϕ⟩^min|, in the equatorial plane (in green). The rms of the magnetic Lorentz force is shown in red. (c) The two energy states of the flow – high and low – in the phase space of the total magnetic energy and the energy of the axisymmetric (zonal) flow, with the points colored by the rms of the Lorentz force, for N_ρ = 6, $\stackrel{\sim }{\mathit{Ra}}=32$.