论文标题
测试临界速度作为分叉指示器的临界放慢速度
Testing Critical Slowing Down as a Bifurcation Indicator in a Low-dissipation Dynamical System
论文作者
论文摘要
我们研究具有控制参数的二维低衰减动力学系统，该系统在跨c症分叉中被线性扫描。我们研究了应用于系统变量的扰动的松弛时间，我们表明临界减速可能发生在远高于分叉点的参数值。我们通过将扰动应用于可访问的控制参数进行实验测试，临界减速的发生，并发现这种扰动使系统行为未经改变，因此没有提供有关临界减速的发生的有用信息。理论分析揭示了这些测试无法预测传入分叉的原因。
We study a two-dimensional low-dissipation dynamical system with a control parameter that is swept linearly in time across a transcritical bifurcation. We investigate the relaxation time of a perturbation applied to a variable of the system and we show that critical slowing down may occur at a parameter value well above the bifurcation point. We test experimentally the occurrence of critical slowing down by applying a perturbation to the accessible control parameter and we find that this perturbation leaves the system behavior unaltered, thus providing no useful information on the occurrence of critical slowing down. The theoretical analysis reveals the reasons why these tests fail in predicting an incoming bifurcation.
