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.本数据集涵盖论文《库拉莫托流的同步态等价性：统一框架》（Equivalence of Synchronization States in the Kuramoto Flow: A Unified Framework）中的参数设置，以及对称耦合振子一阶库拉莫托模型（Kuramoto Model）的相位演化动画。具体而言，论文中呈现的8个仿真场景各自对应的随机采样固有频率与初始相位的实现结果，以及耦合系数和时标系数的选取方案，均以.csv（逗号分隔值）格式提供。各场景下的振子相位演化仿真动画亦一并收录，所有仿真均通过MATLAB中的自适应常微分方程（Ordinary Differential Equation, ODE）求解器"ode89"完成。更多细节请参阅README.md文件。 贡献声明： 罗逸峰（Y.-F. Lo）设计并开展了数值仿真，收集并整理了本数据集。 萧廷祐（T-.Y. Hsiao）与朱畅（C. Zhu）提供了理论探讨。