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《Journal of Vibration and Shock》 2018-12
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Stochastic resonance in an over-damped linear oscillator driven by multiplicative dichotomous noise and periodic modulated harmonic noise

ZHANG Lu;ZHONG Suchuan;College of Mathematics,Sichuan University;School of Aeronautics and Astronautics,Sichuan University;  
For an over-damped linear oscillator driven by multiplicative dichotomous noise and periodic modulated harmonic noise,the exact analytical expression of the first moments and the amplitude of the system steady-state response were obtained based on the Shapiro-Loginov formula. Moreover,the conditions of stochastic resonance were also obtained.It is found that when the factors of the noise satisfy certain conditions,the amplitude of the system steady-state response has monotonous dependencies on the noise parameters,i. e.,the phenomenon of stochastic resonance appears. In particular,compared with the normal white noise,the intensity,damping,and frequency parameters of the harmonic can be regulated to effectively control the stochastic resonance,and thus enhance the system response to external periodic signal.
【Fund】: 国家自然科学基金(11401405;11501386)
【CateGory Index】: O324
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