Simulation Dataset for Manuscript "Equivalence of Synchronization States in the Kuramoto Flow: A Unified Framework"

This dataset contains the parameter settings in the manuscript "Equivalence of Synchronization States in the Kuramoto Flow: A Unified Framework", and animations of phase evolutions in a first-order Kuramoto model of symmetrically coupled oscillators. In particular, the realizations of randomly sampled natural frequencies and initial phases, as well as the choice of coupling and timescale coefficients for each of the 8 simulation scenarios presented in the manuscript, are provided in .csv format. Animations of simulated oscillator phase evolution in each scenario are also included, with simulations performed using the adaptive ODE solver "ode89" in MATLAB. For more details, please check README.md.

Contributions:

Y.-F. Lo designed and performed the numerical simulations, collected and curated the dataset. 

T-.Y. Hsiao and C. Zhu provided theoretical discussions.