论文标题
与互动延迟和高阶相互作用的耦合振荡器种群中的分层同步
Tiered synchronization in coupled oscillator populations with interaction delays and higher-order interactions
论文作者
论文摘要
我们研究了大量耦合相位振荡器的同步，该相互作用持续时间延期，高阶相互作用。 With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a subcriticality at the onset of synchronization and the development of a saddle node, we find that their combination yields another mechanism behind bistability, where supercriticality at onset may be maintained and instead the formation of two saddle nodes creates tiered synchronization, i.e., bistability between a weakly synchronized state and强烈同步的状态。我们通过首先得出系统的低维动力学并使用稳定性和稳态分析来检查系统分叉来证明这些发现。
We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a subcriticality at the onset of synchronization and the development of a saddle node, we find that their combination yields another mechanism behind bistability, where supercriticality at onset may be maintained and instead the formation of two saddle nodes creates tiered synchronization, i.e., bistability between a weakly synchronized state and a strongly synchronized state. We demonstrate these findings by first deriving the low dimensional dynamics of the system and examining the system bifurcations using a stability and steady-state analysis.
