Synchoronization Penomena of Coupled Oscillators in Weighted Three-Dimensional Complex Networks

Complex networks have received a great deal of attention and have been studied in a variety of fields. However, most of these studies consider two-dimensional networks and analyze them by weighting edges. In this study, we extend the network to three dimensions and analyze the network from the viewpoint of synchronization phenomena for complex networks composed of van der Pol oscillators. Then, the coupling strength is set using the Euclidean distance in three-dimensional space and we compare synchronization rate with the two-dimensional network.