Figure 5

Effects of structure – symmetry and distance of coupling. The color matrices are plotted using the adjacency matrices of the networks, where the color represents the edge strength between nodes \({\rm{i}}\) and \({\rm{j}}\). Since the networks are undirected, all matrices are symmetric about the main diagonal. Symmetry in the network implies the adjacency matrix is bisymmetric (last row). The results show that symmetry enhances AP synchronization slightly. Coupling is varied as a function of distance for initially homogeneous (Reg) and random networks (see Methods). The star topology and regular cases give perfect AP synchronization regardless of network size. For random networks, nearest neighbor coupling allows the best chances of AP synchronization. As the interaction persists longer over distance, probability of AP synchronization reduces.