Figure 4

Synchrony patterns arise in networks of \(M=2\) populations. Panel (a) shows a cartoon of the network structure; the nodes of population \(\sigma=1\) are colored in red and the nodes of population \(\sigma=2\) in blue. The coupling within each populations (black edges) is determined by the coupling strength \(k_{s}\) and phase lag \(\alpha_{s}\) and between populations (gray edges) by \(k_{n}\) and \(\alpha_{n}\). Panel (b) shows various stable synchrony patterns in the network as phase snapshots of the solutions to Eqs. (4) with \(N=1000\) oscillators per population once the system has relaxed to an attractor; here S indicates a population that is (fully) phase synchronized (\(R_{\sigma}= 1\)) and D a nonsynchronized population (\(R_{\sigma}< 1\)). The parameters are \(\alpha_{s} = 1.58\) in the first three plots—here different initial conditions converge to different attractors—and \(\alpha_{s}=1.64\) in the rightmost. The parameters \(A=0.7\), \(\alpha _{n}=0.44\) were the same in all plots