AI 中文总结
研究气动声学系统中极限环振荡状态转变的蜕变，通过改变雷诺数和孔板间距做实验，发现其转变通过鸭式爆炸从连续到突变，有两种不同突变分岔，助于开发相关系统的低成本控制和预防策略。
AI 中文摘要
经历向振荡状态转变的动力系统，在二次参数变化时，其转变性质会从超临界霍普夫分岔变为亚临界霍普夫分岔，反之亦然，这种现象称为临界性变化。许多实际系统的振荡状态转变不符合霍普夫分岔框架及临界性变化。我们对由两个有一定距离的孔板约束的管道湍流气动声学流动进行实验，改变雷诺数（Re）这一分岔参数以及孔板间距离这一二次参数。发现湍流气动声学流动通过鸭式爆炸展现出从连续到突变的转变蜕变，观察到两种不同的突变分岔。理解这种从连续到突变的蜕变有助于为经历振荡不稳定性路径系统开发低成本控制和预防策略。
英文摘要
Dynamical systems undergoing transition to oscillatory state exhibit change in the nature of the transition from supercritical to subcritical Hopf bifurcation or vice versa upon variation of a secondary parameter. This phenomenon is referred to as change of criticality. Many real-world systems undergo transition to oscillatory state that do not fit in the framework of Hopf bifurcation, and hence the change of criticality. We perform experiments on a ducted turbulent aeroacoustic flow constrained by two orifices separated at a distance apart. We vary the Reynolds number (Re), a bifurcation parameter causing a transition between various limit cycles. We change the distance between the orifices as the secondary parameter. We discover that turbulent aeroacoustic flows exhibit a metamorphosis of the transition from continuous to abrupt through a canard explosion, a bifurcation unique for its continuous yet rapid nature. We observe two distinct abrupt bifurcations, differing in their dynamical states associated with the transition. Understanding this metamorphosis from continuous to abrupt aids in developing low-cost control and preventive strategies for systems undergoing a route to oscillatory instabilities.
Comments32 pages, 6 figures
