Chunk #6 — Materials and methods — Network models

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Effective Subnetwork Topology for Synchronizing Interconnected Networks of Coupled Phase Oscillators.

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Each node in a network is modeled as a Kuramoto oscillator. The state of node i (i = 1, …, N) is described by its phase ϕi, and its dynamics are calculated by the 4th-order Runge-Kutta method with a time step of dt = 0.05 s. Here, the time derivative of the phase, ϕi., is calculated as: