中文摘要：

分析了处于双势阱中的粒子在单一频率信号和双频信号作用下的运动形式,给出在双频信号作用下双稳系统的响应幅值与激励幅值的近似解析关系,揭示了非线性系统所特有的不同频率之间的频率耦合现象和激励输入的频率能量向另一频率转移的渗透现象.从动力学机理和频谱分布的角度进行分析,深化了对双稳系统随机共振机理的认识.数值仿真结果证明了理论分析的有效性.

英文摘要：

We study the motion of a particle in a bistable potential in the presence of single frequency signal and dual-frequency signal,and give the approximate analytical relationship between response peak-to-peak value and driven peak-to-peak value of the bistable system under the control of dual-frequency signal. The paper also reveals a peculiar phenomenon of the non-linear system,that is frequency coupling of different frequencies and the energy infiltration from the frequency of input to the other. The analysis is carried out from the view point of dynamics mechanism and the frequency spectrum distribution. It deepens the understanding of the mechanism of stochastic resonance in the bistable system. The results of numerical simulation prove the validity of theoretical analysis.