Fig 2. Distinct local dynamics of hub and peripheral nodes.

A coupled Stuart-Landau model oscillator was simulated on a scale-free network with 78 nodes; distinct local dynamics at hub nodes (green triangle: defined as nodes with degree above the group standard deviation), and peripheral nodes (yellow circle: defined as nodes with degree 1) are found as coupling strength S is varied. (A) Mean phase coherence (PC), (B) amplitude, and (C) averaged dPLI for the two groups of nodes are presented. (D) The average coupling strength of j, K _j, is shown as function of amplitude $r_j^{*}$. Here, $\tilde{R}$ is the order parameter. We analytically identified that ${\left(K_j\tilde{R}\right)}^2$ is a monotonic increasing function of ${\left(r_j^{*}\right)}^2$, such that $if{K}_a>K_b, then r_a^{*}>r_b^{*}$. For the simulation, the time delay between each node was given as 10ms.