标题： 振荡器集合的宏观动力学，具有社区、高阶相互作用和相位滞后 显示英文标题

标题： Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags

摘要： 我们研究了在具有两个社区的耦合相位振荡器系统中，相位挫败的高阶相互作用的影响。 我们使用降维技术推导出一个低维的常微分方程系统，以描述系统的宏观行为。 通过分析这个系统，我们表明，除了仅具有高阶相互作用和社区结构的振荡器系统中存在的固定点解外，该系统在某些相位滞后值下还会表现出振荡或混沌的同步行为。 此外，某些相位滞后值会导致解的多稳定性，根据初始条件的不同，可以观察到固定点解以及序参数的振荡或混沌行为。 显示英文摘要

摘要： We study the effects of phase-frustrated, higher-order interactions in a system of coupled phase oscillators with two communities. We use dimensionality reduction techniques to derive a low-dimensional system of ODEs to describe the macroscopic behavior of the system. By analyzing this system we show that, in addition to the fixed point solutions present in a system of oscillators with higher order interactions and community structure only, the system also exhibits oscillatory or chaotic synchronization behavior for some phase lag values. Moreover, some phase lag values give rise to multistability of solutions, where both fixed point solutions and oscillatory or chaotic behavior of the order parameters can be observed, depending on initial conditions.