标题： 耦合振荡器在局部一维 Kuramoto 模型中的同步 显示英文标题

标题： Synchronization of Coupled Oscillators in a Local One-Dimensional Kuramoto Model

摘要： 对有限离散系统中局部耦合振子同步的修改后的Kuramoto模型进行了研究。 该模型由排列在环上的N个具有随机自然频率的振子组成。 通过分析和数值计算表明，有限尺寸系统可能具有许多不同的同步稳定解，这些解由不同的绕数值特征。 给出了临界耦合的下限，以及其精确计算的算法。 表明在一般情况下，相位锁定并不导致一维中的相位同步。 显示英文摘要

摘要： A modified Kuramoto model of synchronization in a finite discrete system of locally coupled oscillators is studied. The model consists of N oscillators with random natural frequencies arranged on a ring. It is shown analytically and numerically that finite-size systems may have many different synchronized stable solutions which are characterised by different values of the winding number. The lower bound for the critical coupling is given, as well as an algorithm for its exact calculation. It is shown that in general phase-locking does not lead to phase coherence in 1D.