2013•Noise and Vibration ControlRequires access

Numerical Research on Stochastic Resonance in Monostable Systems Subjected to Double-frequency Signal

Min Lin

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Abstract

On the basis of vibration resonance,the dynamic characteristics of the non-linear monostable system subjected to the action of high and low frequency signals were studied.Analysis indicates that the high frequency signal can cause system bifurcation,and the amplitude of low frequency signal and the asymmetric parameter of monostable system are the influence factors of the threshold of system transition.Adjusting the parameters of high and low frequency signals can change the height of potential barrier,and induce the effect of monostable stochastic resonance.Theoretical analysis and the results of numerical simulation show that under the adiabatic approximate condition,the SNR and PSD of output signal of the monostable system vary non-monotonically.Meanwhile,better output signal of cascaded monostable system can be obtained.The simulation of impact signal shows that this kind of stochastic resonance system is useful in engineering applications.

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What this paper is about

On the basis of vibration resonance,the dynamic characteristics of the non-linear monostable system subjected to the action of high and low frequency signals were studied.Analysis indicates that the high frequency signal can cause system bifurcation,and the amplitude of low frequency signal and the asymmetric parameter of monostable system are the influence factors of the threshold of system transition.Adjusting the parameters of high and low frequency signals can change the height of potential barrier,and induce the effect of monostable stochastic resonance.Theoretical analysis and the results of numerical simulation show that under the adiabatic approximate condition,the SNR and PSD of output signal of the monostable system vary non-monotonically.Meanwhile,better output signal of cascaded monostable system can be obtained.The simulation of impact signal shows that this kind of stochastic resonance system is useful in engineering applications.

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Available abstract

On the basis of vibration resonance,the dynamic characteristics of the non-linear monostable system subjected to the action of high and low frequency signals were studied.Analysis indicates that the high frequency signal can cause system bifurcation,and the amplitude of low frequency signal and the asymmetric parameter of monostable system are the influence factors of the threshold of system transition.Adjusting the parameters of high and low frequency signals can change the height of potential barrier,and induce the effect of monostable stochastic resonance.Theoretical analysis and the results of numerical simulation show that under the adiabatic approximate condition,the SNR and PSD of output signal of the monostable system vary non-monotonically.Meanwhile,better output signal of cascaded monostable system can be obtained.The simulation of impact signal shows that this kind of stochastic resonance system is useful in engineering applications.

Key concepts: Multivibrator, Stochastic resonance, SIGNAL (programming language), Control theory (sociology), Amplitude, Resonance (particle physics), Bistability, Adiabatic process

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