论文标题
由定向高阶相互作用引起的同步
Synchronization induced by directed higher-order interactions
论文作者
论文摘要
在许多社会和生物复杂系统中，非互动相互作用在许多社会和生物复杂系统中起着至关重要的作用。尽管在具有成对相互作用的网络中已彻底考虑了方向性，但其在具有高阶相互作用的系统中的影响尚未得到应有的探索。在这里，我们介绍了M导向超图的概念，该概念是一类定向的高阶结构，该概念允许研究通过定向组相互作用结合的动态系统。作为一种应用，我们研究了非线性振荡器在1导向超图上的同步，发现指示高阶相互作用可以破坏同步，但也可以稳定原本不稳定的同步状态。
Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M-directed hypergraphs, a general class of directed higher-order structures, which allow to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states.
