双稳随机动力系统信号调制噪声效应的数值分析

用数值方法研究了双稳随机动力系统的信号调制噪声效应.结果表明，正弦信号在系统输出中的效应仍为正弦信号，白噪声的效应则为维纳过程，通过选择合适的系统参数，可以减小系统输出中信号和噪声之间的耦合效应，系统可以大大抑制噪声，从而在双稳系统中可以产生信号调制噪声效应. 关键词： 双稳系统 信号调制噪声效应 随机共振

Numerical analysis of the signal modulation effect in bistable stochastic dynamical systems

We study numerically the effect of signal modulating noise in bistable stochastic dynamical systems. By making a numerical analysis of the bistable stochastic dynamical systems, we find that the effect of an input sinusoidal signal is also a sinusoidal signal in the output, and the effect of the white noise is a Wiener process. When the system parameters are small enough, the coupling effect between the sinusoidal signal and the white noise can be largely weakened. Under this condition the noise can be largely reduced in the system output, and the effect of signal modulating noise can occur in the bistable stochastic dynamical systems.