标题： 具有高阶相互作用的脉冲振荡器中的孤子状态 显示英文标题

标题： Solitary states in spiking oscillators with higher-order interactions

摘要： 我们研究了一个全局耦合的FitzHugh-Nagumo振子系统，表明高阶相互作用的存在会影响同步和异步状态之间的转变特性。 特别是，我们证明在同步转变附近，由于二阶相互作用的存在，孤立态出现。 与相位振子系统中观察到的现象不同，我们表明在低耦合强度下，孤立态在两个转变方向上都会出现，而对于更高的耦合强度，它们仅在正向方向出现，而反向方向则由爆炸性失同步特征化。 显示英文摘要

摘要： We study a system of globally coupled FitzHugh-Nagumo oscillators, showing that the presence of higher-order interactions affects the character of the transition between synchronous and asynchronous states. In particular, we demonstrate that, around the synchronization transition, solitary states emerge due to the presence of second-order interactions. In difference to the phenomenology observed in systems of phase oscillators, we show that, at low coupling strengths, solitary states appear for both transition directions, whereas for higher couplings they only occur in the forward direction, with the backwards one characterized by explosive desynchronization.