Abstract

We study the effect of nonuniform delay coupling due to degree inhomogeneity in a system of identical Kuramoto oscillators on a bipartite network with the star topology. The hub and peripheral oscillators have synchronized solutions with phase shift between them. Transcendental equations are obtained for the collective frequencies and phase shifts, and linear stability conditions are derived for the solutions. Numerical simulations are in good agreement with these results. Systems in which collective frequencies depend on both delays and phase shifts are important in the context of optimizing synchronization rates.

Graphical abstract

中文翻译：

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星型网络上的延迟耦合相位振荡器：度不均匀性的影响

摘要

我们研究了在星形拓扑的二分网络上，相同仓本振荡器系统中由于度不均匀性而引起的非均匀延迟耦合的影响。集线器和外围振荡器的同步解决方案之间具有相移。获得了集体频率和相移的超越方程，并为解导出了线性稳定性条件。数值模拟与这些结果非常吻合。在优化同步速率的情况下，集体频率取决于延迟和相移的系统很重要。

图形概要