动力学与控制学报
動力學與控製學報
동역학여공제학보
JOURNAL OF DYNAMICS AND CONTROL
2014年
2期
160-164
,共5页
随机共振(SR)%杜芬振子%信噪比%双稳系统%微弱信号
隨機共振(SR)%杜芬振子%信譟比%雙穩繫統%微弱信號
수궤공진(SR)%두분진자%신조비%쌍은계통%미약신호
stochastic resonance (SR)%Duffing oscillator%signal to noise ratio%bi-stable system%weak signal
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。
隨機共振是非線性繫統中的一種動力學現象。本文對基于Duffing振子的隨機共振現象進行研究,研究瞭Duffing繫統譟聲彊度與信譟比的關繫,不同頻率正絃信號與信譟比的關繫,以及阻尼比參數對隨機共振的影響。研究結果錶明,Duffing繫統的阻尼比參數對隨機共振的影響非常重要,阻尼比參數與輸齣信號信譟比之間存在著一種複雜的非線性關繫,併且會隨著Duffing繫統參數的改變而變化。
수궤공진시비선성계통중적일충동역학현상。본문대기우Duffing진자적수궤공진현상진행연구,연구료Duffing계통조성강도여신조비적관계,불동빈솔정현신호여신조비적관계,이급조니비삼수대수궤공진적영향。연구결과표명,Duffing계통적조니비삼수대수궤공진적영향비상중요,조니비삼수여수출신호신조비지간존재착일충복잡적비선성관계,병차회수착Duffing계통삼수적개변이변화。
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.