Department of Physics, Chiba University, Chiba 263-8522, Japan.
Phys Rev E. 2023 Mar;107(3-1):034201. doi: 10.1103/PhysRevE.107.034201.
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 antiphase, 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.
密度振荡器是一种流体系统，其中通过连接它们的孔隙在不同密度的流体之间发生振荡流动。我们使用二维流体动力学模拟研究耦合密度振荡器中的同步，并基于相减理论分析同步状态的稳定性。我们的结果表明，在两个、三个和四个耦合振荡器中，分别作为稳定状态，自发放映出反相、三相和 2-2 部分同相同步模式。通过相位耦合函数的足够大的第一傅里叶分量来解释耦合密度振荡器的相位动力学。
