正弦势系统中的随机共振：模拟仿真实验
Stochastic resonance in a sinusoidal potential system: An analog simulation experiment
摘要：
最近，在周期力和高斯白噪声驱动下，数值模拟了欠阻尼周期势系统的随机共振。在该数值工作中，随机共振的发生被解释为具有不同振幅和相位滞后的两个动力学状态的存在。在零温度下，这两个依赖于初始条件的动力学状态是稳定的。然而，在升高的温度下，这两种状态以平均速率从一种状态过渡到另一种状态。在目前的工作中，我们建立了一个模拟仿真实验，以显示在正弦势系统中的两个动力学状态的存在，以及验证在同一系统中的随机共振的发生。实验步骤包括设定实验的初始条件。
英文摘要：
Recently, stochastic resonance was obtained numerically in an underdamped periodic potential system driven by a periodic force and a Gaussian white noise. In that numerical work, the occurrence of stochastic resonance was explained in terms of the existence of two dynamical states having different amplitude and phase lag. At zero temperature these two initial condition dependent dynamical states are stable. However, at elevated temperatures, these two states make transitions from one to the other at a mean rate. In the present work, we setup an analog simulation experiment to show the existence of the two dynamical states in a sinusoidal potential system as well as to verify the occurrence of stochastic resonance in the same system. The experimental procedure includes setting the initial conditions for the experiment.
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