论文标题
具有高阶互动和社区结构的耦合振荡器系统中的多功能性
Multistability in coupled oscillator systems with higher-order interactions and community structure
论文作者
论文摘要
我们研究具有高阶相互作用和社区结构的耦合相振荡器种群中的同步动力学。我们发现，这两种特性的组合产生了许多仅由高阶相互作用或仅由社区结构而支持的状态，包括与群落中的同步状态，将其组织成群体内，反相和一种新型的偏置相，以及一个不合同的同步状态。此外，该系统显示出强大的多稳定性，其中许多状态同时稳定。我们通过得出系统的低维动力学并使用稳定性分析和扰动理论来检查系统的分叉来证明我们的发现。
We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two properties gives rise to a number of states unsupported by either higher-order interactions or community structure alone, including synchronized states with communities organized into clusters in-phase, anti-phase, and a novel skew-phase, as well as an incoherent-synchronized state. Moreover, the system displays a strong multistability, with many of these states stable at the same time. We demonstrate our findings by deriving the low dimensional dynamics of the system and examining the system's bifurcations using a stability analysis and perturbation theory.
