Communications Physics ( IF 5.5 ) Pub Date : 2020-11-30 , DOI: 10.1038/s42005-020-00485-0 Per Sebastian Skardal , Alex Arenas
Synchronization processes play critical roles in the functionality of a wide range of both natural and man-made systems. Recent work in physics and neuroscience highlights the importance of higher-order interactions between dynamical units, i.e., three- and four-way interactions in addition to pairwise interactions, and their role in shaping collective behavior. Here we show that higher-order interactions between coupled phase oscillators, encoded microscopically in a simplicial complex, give rise to added nonlinearity in the macroscopic system dynamics that induces abrupt synchronization transitions via hysteresis and bistability of synchronized and incoherent states. Moreover, these higher-order interactions can stabilize strongly synchronized states even when the pairwise coupling is repulsive. These findings reveal a self-organized phenomenon that may be responsible for the rapid switching to synchronization in many biological and other systems that exhibit synchronization without the need of particular correlation mechanisms between the oscillators and the topological structure.
中文翻译:
复杂的相位振荡器网络中的高阶相互作用促进了突然的同步切换
同步过程在各种自然系统和人造系统的功能中都起着至关重要的作用。物理学和神经科学领域的最新研究强调了动力学单元之间高阶相互作用的重要性,即除成对相互作用外的三向和四向相互作用及其在塑造集体行为中的作用。在这里,我们显示了在简单的复合体中以微观方式进行编码的耦合相位振荡器之间的高级交互作用,在宏观系统动力学中引起了附加的非线性,该非线性通过滞后以及同步状态和非相干状态的双稳态诱发了突然的同步跃迁。而且,即使成对耦合是排斥的,这些高阶相互作用也可以稳定强同步状态。