Abstract
In a bistable system excited by the combination of a weak low-frequency signal and a noise, the noise can induce a resonance at the subharmonic frequency which is smaller than the driving frequency. This kind of noise-induced resonance is similar to the well-known stochastic resonance. Here, we verify the noise-induced resonance at the subharmonic frequency which equals 1/3 multiple of the driving frequency, by a numerical study of the response of the overdamped and underdamped bistable systems, respectively. More importantly, the noise-induced resonance at the subharmonic frequency may be stronger than the classical stochastic resonance which occurs at the driving frequency. This indicates that we cannot ignore the subharmonic frequency component in the response, otherwise we may miss some important information. By adjusting the excitation signal and the system parameters, we can make the noise-induced resonance at the subharmonic frequency to be stronger or weaker than the classic stochastic resonance. The results shown in this paper constitute a complement to the stochastic dynamics of a random system.
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