Stochastic resonance induced by over-damped fractional Langevin equation with alpha stable noise
Yong-jun Zheng1, 2, Fei Wang2, Shan-an Zhu1
1College of Electrical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
2College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China
Stochastic resonance phenomenon induced in a system described by over-damped fractional Langevin equation with -stable noise is investigated. When there is no external -stable noise, the stochastic resonance is observed in case of the fractional order less than one certain threshold. By applying -stable noise, the influences of the noise intensity and characteristic exponent of -stable noise on the occurrence of stochastic resonance phenomenon are characterized. We find that the proper noise intensity enlarges the peak value of output power spectrum which is significant for stochastic resonance. Adjusting the noise intensity, the behaviour of signal-to-noise ratio is non-monotonic and with a maximum value. Under the same conditions, the lower value of characteristic exponent of -stable noise leads to the smaller noise intensity to achieve stochastic resonance.