中文摘要：

单一双稳系统受到弱周期信号和噪声的作用能产生随机共振，而在高、低两种不同频率信号作用下则能产生振动共振。将两个双稳系统经非线性耦合而成为耦合双稳系统，并在低频、高频信号和噪声的作用下研究了耦合双稳系统对低频信号的响应特性，给出了高频信号参数和耦合系数对振动共振和随机共振的影响关系，结果表明通过调节高频信号幅值或耦合系数大小能产生振动共振或随机共振，并构建了耦合双稳系统原理框图，为随机共振的控制及其利用提供了新的理论方法。数值仿真结果与理论分析结论完全吻合。

英文摘要：

The stochastic resonance can be raised by the action of weak periodic signal and noise to a single bistable system. On the other hand, the vibrational resonance can be raised by the action of high and low frequency signal. Nonlinear coupling of two bistable systems forms a coupled bistable system. The response characteristic of coupled bistable system to low frequency signal was studied under the action of a two-frequency signal with one frequency much larger than the other one and a Gaussian noise. The effect relationship of high frequency signal parameters and coupled coefficients on vibrational resonance and stochastic resonance is given. The results manifest that the vibrational resonance or stochastic resonance can be produced by adjusting the amplitude of high frequency signal or the value of coupled coefficient. The principle diagram of coupled bistable system is constructed. It is a new theoretical method for the stochastic resonance control and its application. The results of numerical simulation are coincident with that of theoretical analysis.