基于Duffi ng振子的随机共振研究

摘要

随机共振是非线性系统中的一种动力学现象。本文对基于Duffing振子的随机共振现象进行研究，研究了Duffing系统噪声强度与信噪比的关系，不同频率正弦信号与信噪比的关系，以及阻尼比参数对随机共振的影响。研究结果表明，Duffing系统的阻尼比参数对随机共振的影响非常重要，阻尼比参数与输出信号信噪比之间存在着一种复杂的非线性关系，并且会随着Duffing系统参数的改变而变化。%Stochastic resonance is a kind of nonlinear phenomenon,which can enhance the weak input signal through the nonlinear system.This paper investigated the phenomenon of stochastic resonance for duffing oscilla-tor.Following experiments were studied:the relation between the output SNR with the noise strength,the rela-tion between the output SNR of the Duffing system with the different frequency of the sine signal,and the relation between the output SNR with the damping ratio.The experimental results show that the damping ratio parameter has an important role in the stochastic resonance and there exist a complex nonlinear relationship between the damping ratio parameter with the output SNR.