标题： 具有异构相互作用延迟的大耦合振子系统 显示英文标题

标题： Large coupled oscillator systems with heterogeneous interaction delays

摘要： 为了发现异质通信延迟对大耦合振子系统动力学的普遍影响，本文研究了一个包含相互作用延迟分布的Kuramoto模型的修改版本。 通过关注原始系统的不变流形上的约化动力学，我们推导出系统的控制方程，我们利用这些方程来研究非同步状态的稳定性以及从稳定非同步状态到稳定同步状态的动力学过渡行为。 我们发现延迟分布函数的扩散可以显著改变系统动力学。 显示英文摘要

摘要： In order to discover generic effects of heterogeneous communication delays on the dynamics of large systems of coupled oscillators, this paper studies a modification of the Kuramoto model incorporating a distribution of interaction delays. By focusing attention on the reduced dynamics on an invariant manifold of the original system, we derive governing equations for the system which we use to study stability of the incoherent states and the dynamical transitional behavior from stable incoherent states to stable coherent states. We find that spread in the distribution function of delays can greatly alter the system dynamics.