Figure 1

Evolution of Synchronization inside the system. (a) Plot of log₁₀ (1/(1 - C _ij )) versus the degree product k _i k _j (the data is averaged over all links with the same degree product) and the coupling strength K. (b) Evolution of the global order parameter (the black solid curve with the right-hand y-axis) and mean C _ij for pairs of connected nodes (the blue dashed curve with the left-hand y-axis) and pairs of disconnected nodes (the red dashed curve with the left-hand y-axis) as a function of K. (c) The local order parameter r versus the coupling strength K and the node degree k (the data is averaged over all nodes with the same degree). We used 5 networks and 10 initial configurations for each network. (d) A model of interactions of node i and j. Node i is considered to interact to the network via an effective coupling strength = Kk _i r _i .