Figure 8.

The phase space for (1.2) with N = 3 oscillators and coupling function g with one dead zone as in (5.2) and parameters as in figure 7a–d respectively. As in figures 5 and 6, black lines indicate the sets θ₁ − θ₂ = 0, θ₂ − θ₃ = 0 and θ₃ − θ₁ = 0 which intersect in Θ^sync (black dot, •) that bound $\mathcal{C}$ and its symmetric image. The splay phases are indicated by hollow dots (°) and dashed lines indicate phase configurations where one phase difference is equal to π. As above, the colouring indicates the effective coupling graph overlaid by trajectories started on a regular grid, shown in white—a very wide range of effective coupling graphs are realised; see figure 9. For (b) and (c), there are white regions of trivial dynamics where no trajectories are present: these correspond to the effective coupling graph ∅₃. Finally, note that for (a) and (c) there are trajectories that visit Θ_g(H) for multiple $\mathbf{H}\in {\mathcal{H}}_3$ as time evolves. (Online version in colour.)