论文标题
共鸣的瞬态路线
The transient route to resonance
论文作者
论文摘要
具有阻尼的定期驱动的谐波振荡器是物理学中最基本和最受信任的模型之一，通常以稳定状态应用，无视特定的初始条件和相关的瞬变。例如，稳态解决方案已经足够描述共振。在某些应用中，瞬态解决方案可能会起作用，并且对这些作用可能很有用。为了表征谐波振荡器的瞬变，其绕组数是在初始条件的依赖性中绘制的。这些可视化显示了谐波振荡器的瞬变的复杂性，这些瞬时仅从模型的检查中很容易看出。
The periodically driven harmonic oscillator with damping is one of the most elementary and trusted models in physics and normally applied in its steady state, disregarding specific initial conditions and associated transients. For example, steady state solutions are already sufficient to describe resonance. In some applications transient solutions might play a role though, and a review of these might be useful. In order to characterize the transients of the harmonic oscillator, its winding number is graphed in dependence of initial conditions. These visualizations show a complexity of the transients of the harmonic oscillator that are not readily evident from the inspection of the model alone.
