论文标题
二维流体力学模拟，以在耦合密度振荡器中同步
Two-dimensional hydrodynamic simulation for synchronization in coupled density oscillators
论文作者
论文摘要
密度振荡器是一个流体系统，其中振荡流通过连接它们的孔之间发生振荡流。我们使用二维流体动力模拟研究了耦合密度振荡器中的同步，并根据相还原理论分析同步态的稳定性。我们的结果表明，反相，三相和2-2个相相同步模式分别以两个，三个和四个耦合振荡器的形式自发地作为稳定状态出现。耦合密度振荡器的相动态具有足够大的相位耦合函数的大型傅立叶成分。
A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic simulation and analyze the stability of the synchronous state based on the phase reduction theory. Our results show that the anti-phase, three-phase, and 2-2 partial-in-phase synchronization modes spontaneously appear as stable states in two, three, and four coupled oscillators, respectively. The phase dynamics of coupled density oscillators is interpreted with their sufficiently large first Fourier components of the phase coupling function.
