Homogeneous delays in the Kuramoto model with time-variable parameters.
Homogeneous delays in the Kuramoto model with time-variable parameters.
复制标题
具有时变参数的 Kuramoto 模型中的均匀延迟。
DOI：
10.1103/physreve.90.052903
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Barabash ML
中科院分区：
文献类型：
--
作者：
Barabash ML
具有时变参数的 Kuramoto 模型已得到扩展，可以考虑耦合延迟的影响。集体动力学是由原始系统的时间尺度、外部强迫和延迟之间的相互作用产生的。描述了这种复杂的低维动力学，揭示了同步阈值附近的回声效应。因此，延迟耦合极大地改变了开放系统的动力学，应该根据系综的演化时间尺度予以考虑。我们还引入了谐波强迫下平均场演化的一次谐波近似，对于相干总体的任何延迟和强迫都有效。
The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble's evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.