论文标题
多层网络上的简单复合物中的多个同步转变
Multiple synchronization transitions in simplicial complexes on multilayer networks
论文作者
论文摘要
网络和某些类型的多层网络中高阶相互作用（简单复合物）的存在已显示导致突然的一阶转变为同步。我们发现，多层网络上的简单复合物可以产生多个吸引力的盆地，从而导致多个路由到突然的一阶过渡到同步。使用Ott-Antonsen方法，我们为多层网络上的简单复合物开发了一个分析框架，该框架彻底解释了相关耦合动力学的所有可能动态状态的起源和稳定性，包括多个同步转变。该研究说明了丰富的动态行为可能是理解高阶相互作用对具有固有多层网络体系结构的复杂现实世界网络（例如大脑，社交和技术）动态的影响的关键。
The presence of higher-order interactions (simplicial complexes) in networks and certain types of multilayer networks has shown to lead to the abrupt first-order transition to synchronization. We discover that simplicial complexes on multilayer networks can yield multiple basins of attraction, leading to multiple routes to the abrupt first-order transition to synchronization. Using the Ott-Antonsen approach, we develop an analytical framework for simplicial complexes on multilayer networks, which thoroughly explains the origin and stability of all possible dynamical states, including multiple synchronization transitions, of the associated coupled dynamics. The study illustrating rich dynamical behaviours could be pivotal to comprehending the impacts of higher-order interactions on dynamics of complex real-world networks, such as brain, social and technological, which have inherent multilayer networks architecture.
