论文标题
在参数的快速变化下，在复杂系统中倾斜
Tipping in complex systems under fast variations of parameters
论文作者
论文摘要
在系统状态下，在自然和人制造的系统中通常不受欢迎。在系统参数的快速变化下，此类过渡称为速率诱导的小费。我们在实验中证明了在现实世界中复合系统中速率引起的倾斜，并破译了其机制。在系统经历倾斜的情况下，参数的变化率关键率。我们表明，另一个系统参数而不是在我们的控制之下，以不同的速率同时变化，并且该参数的效果与控制参数之间的竞争决定了是否发生倾倒。在实验中，我们使用表现出HOPF分叉的非线性振荡器模型将此倾斜度推广到复杂的系统，在该系统中缓慢而快速的参数竞争以确定系统动力学。
Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced tipping in a real-world complex system and decipher its mechanism. There is a critical rate of change of parameter above which the system undergoes tipping. We show that another system parameter, not under our control, changes simultaneously at a different rate, and the competition between the effects of that parameter and the control parameter determines if and when tipping occurs. Motivated by the experiments, we use a nonlinear oscillator model exhibiting Hopf bifurcation to generalize this tipping to complex systems in which slow and fast parameters compete to determine the system dynamics.
