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Stochastic multi-resonance in an overdamped bistable system with two types of modulation signal
Authors:C H Zeng  A L Gong  C P Zeng  L R Nie
Institution:(1) School of Engineering and Computer Science, Victoria University of Wellington, Wellington, New Zealand;(2) School of Engineering and Advanced Technology, Massey University, Palmerston North, New Zealand;(3) School of Engineering, University of Waikato, Hamilton, New Zealand
Abstract:The stochastic resonance (SR) phenomenon in an overdamped bistable system with multiplicative and additive noise is investigated. The signal-to-noise ratio (SNR) is calculated when two types of modulation signal are added to the system. The effects of the intensities, the frequencies and relative phase shift of two types of modulation signal on the SNR are discussed, respectively. Research results show that: (i) the intensities of two types of modulation signal can enhance the maximum in the SNR as a function of the noise intensity, and the frequencies can restrain it; (ii) the additive modulation signal can enhance the maximum in the SNR as a function of the noise intensity in comparison with the multiplicative modulation signal; (iii) when both modulation frequencies are equal, the SNR as a function of the relative phase shift exhibits multiple maxima. The multiple maxima in the SNR identifies the characteristic of the stochastic multi-resonance phenomenon.
Keywords:
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