Eur. Phys. J. D 62, 219-225 (2011)
https://doi.org/10.1140/epjd/e2011-10478-8

Stochastic multi-resonance in an overdamped bistable system with two types of modulation signal

¹ Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P.R. China
² Center of Metallurgical Energy conservation andEmission Reduction, Ministry of Education, Kunming University of Science and Technology, Kunming, Yunnan, 650093, P.R. China

^a e-mail: zchh2009@126.com

Received: 30 August 2010
Received in final form: 4 November 2010
Published online: 18 March 2011

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.