The role of potential-well depth and width on stochastic resonance (SR) driven by colored noise with different noise correlation times is explored and evaluated by deriving the analytic expression of output signal-to-noise ratio (SNR) as a most widely used indicator for quantifying SR phenomenon. Double resonance peaks are observed and shifted between single peak and double peaks when SNR is expressed as the function of varying potential-well depth, varying potential-well width, additive noise intensity, multiplicative noise intensity and the intensity ratio between two noise, respectively. Moreover, the SR behavior induced by varying potential-well depth is different from that induced by varying potential-well width. Even the shapes of SNR curves under different correlation times and coupling strength for potential-well depth are opposite to those for potential-well width and furthermore they are also of dependence on initial conditions. Above clues may be helpful to the precise control of SR by varying potential-well depth and width separately for weak signal enhancement.

通过推导输出信噪比（SNR）的解析表达式作为最广泛使用的指标，探索并评估了势阱深度和宽度对随机噪声（由不同噪声相关时间的有色噪声驱动）的作用。用于量化SR现象。当SNR表示变化的势阱深度，变化的势阱宽度，加性噪声强度，乘性噪声强度以及两种噪声之间的强度比的函数时，观察到双共振峰并在单峰和双峰之间移动。此外，通过改变势阱深度引起的SR行为不同于通过改变势阱宽度引起的SR行为。即使在不同的相关时间和势阱深度的耦合强度下，SNR曲线的形状也与势阱宽度的形状相反，而且它们还取决于初始条件。以上线索可能会通过分别改变势阱深度和宽度以弱信号增强而有助于精确控制SR。