标题： 二维流体中的集体振荡 显示英文标题

标题： Collective oscillation in two-dimensional fluid

摘要： 在二维欧拉方程中发现了大规模的集体振荡。 对于远离基态静止流的初始条件，系统不会退化为基态静止流，而是表现出沿基态流线移动的相干涡旋对，这导致了大规模的振荡场。 对分岔点附近的调查表明，这种振荡是通过霍普夫分岔出现的。 此外，一种动态自洽理论解释了这种振荡是自振荡状态的集体组织结果。 显示英文摘要

摘要： Large-scale collective oscillation is discovered in the two-dimensional Euler equations. For initial conditions far from a base stationary flow, the system does not relax to the base stationary flow, but instead shows pairs of coherent vortices moving along the base stream line, which leads to large-scale oscillatory fields. The investigation of the vicinity of a bifurcation point suggests that this oscillation appears through Hopf bifurcation. Furthermore, a dynamic self-consistent theory explains that this oscillation results from the collective organization of a state of self-oscillation.