论文标题
时间延迟的库拉莫托振荡器的同步模式
Synchronization patterns in rings of time-delayed Kuramoto oscillators
论文作者
论文摘要
在相同的库拉莫托振荡器的环中研究了相邻振荡器之间具有恒定相移的相锁状状态，并具有延时的最近邻居耦合。这些状态的线性稳定性是得出的，发现无量纲方程的稳定性图显示出高水平的对称性。吸引盆地的大小是数值研究的。随着模型的参数的变化，这些尺寸在几个数量级上定期变化。简单的启发式论证是为了了解吸引人盆地大小的变化，并在系统被随机初始初始化时预测最可能的状态。
Phase-locked states with a constant phase shift between the neighboring oscillators are studied in rings of identical Kuramoto oscillators with time-delayed nearest-neighbor coupling. The linear stability of these states is derived and it is found that the stability maps for the dimensionless equations show a high level of symmetry. The size of the attraction basins is numerically investigated. These sizes are changing periodically over several orders of magnitude as the parameters of the model are varied. Simple heuristic arguments are formulated to understand the changes in the attraction basin sizes and to predict the most probable states when the system is randomly initialized.
