论文标题
非线性振荡器网络中特定时空模式的分析预测具有距离依赖时间延迟
Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays
论文作者
论文摘要
我们引入了一种分析方法，该方法允许对具有异质时间延迟的非线性振荡器网络的动态进行预测和机械见解。我们证明，时间延迟塑造了与系统相关的矩阵的光谱，从而导致波浪出现了首选方向。然后，我们为在延迟的库拉莫托网络的单个模拟中观察到的特定时空模式创建分析预测。这种方法将有限尺度上有异质时间延迟的系统推广，这允许研究在广泛应用中时空动力学。
We introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time delays. We demonstrate that time delays shape the spectrum of a matrix associated to the system, leading to the emergence of waves with a preferred direction. We then create analytical predictions for the specific spatiotemporal patterns observed in individual simulations of time-delayed Kuramoto networks. This approach generalizes to systems with heterogeneous time delays at finite scales, which permits the study of spatiotemporal dynamics in a broad range of applications.
