标题： 具有分布时滞耦合的振荡器的幅度和相位动力学 显示英文标题

标题： Amplitude and phase dynamics in oscillators with distributed-delay coupling

摘要： 本文研究了分布时滞耦合对非相同耦合Stuart-Landau振子系统动力学的影响。对于均匀分布核和伽马分布核，根据平均频率、频率失谐以及耦合参数（包括耦合强度和相位，以及平均时滞和时滞分布的宽度）得到了幅值死亡条件。为了进一步深入了解幅值死亡区域内的动力学行为，数值计算了相应特征方程的特征值。此外，还利用幅值和相位表示法研究了系统的振荡动力学。各种相锁定解分支被识别，并分析了不同类型的时滞分布下的稳定性。 显示英文摘要

摘要： This paper studies the effects of distributed delay coupling on the dynamics in a system of non-identical coupled Stuart-Landau oscillators. For uniform and gamma delay distribution kernels, conditions for amplitude death are obtained in terms of average frequency, frequency detuning and parameters of the coupling, including coupling strength and phase, as well as the mean time delay and the width of the delay distribution. To gain further insight into the dynamics inside amplitude death regions, eigenvalues of the corresponding characteristic equations are computed numerically. Oscillatory dynamics of the system is also investigated using amplitude and phase representation. Various branches of phase-locked solutions are identified, and their stability is analysed for different types of delay distributions.