Kang Yan-Mei, Xu Jian-Xue, Xie Yong
Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036123. doi: 10.1103/PhysRevE.68.036123. Epub 2003 Sep 23.
The method of moments is applied to an underdamped bistable oscillator driven by Gaussian white noise and a weak periodic force for the observations of stochastic resonance and the resulting resonant structures are compared with those from Langevin simulation. The physical mechanisms of the stochastic resonance are explained based on the evolution of the intrawell frequency peak and the above-barrier frequency peak via the noise intensity and the fluctuation-dissipation theorem, and the three possible sources of stochastic resonance in the system are confirmed. Additionally, with the noise intensity fixed, the stochastic resonant structures are also observed by adjusting the nonlinear parameter.
将矩量法应用于由高斯白噪声和弱周期力驱动的欠阻尼双稳振荡器，以观察随机共振，并将所得的共振结构与朗之万模拟的结果进行比较。基于阱内频率峰值和势垒上频率峰值通过噪声强度和涨落耗散定理的演化，解释了随机共振的物理机制，并确定了系统中随机共振的三种可能来源。此外，在固定噪声强度的情况下，还通过调整非线性参数观察了随机共振结构。
