Abstract: The phenomenon of stochastic resonance (SR) in an asymmetric bistable system subject to the multiplicative and additive white noises and two periodic fields is investigated. Using the two-state theory, analytic expressions of the signal-to-noise ratio (SNR) for fundamental harmonics and higher harmonics are derived. It is found that SR appears at both fundamental harmonics and mixed harmonics (of second- and third-order approximation). Moreover, the higher the order of mixed harmonics is, the larger the SNR values are. The effects of static asymmetry on the SNR (of second- and third-order approximation) are different, and the noise intensity ratio can enhance the SNR for higher harmonics.
(Probability theory, stochastic processes, and statistics)
引用本文:
JIN Yan-Fei;XU Wei;XU Meng. Stochastic Resonance in an Asymmetric Bistable System Subject to Frequency Mixing Periodic Force and Noise[J]. 中国物理快报, 2005, 22(5): 1061-1064.
JIN Yan-Fei, XU Wei, XU Meng. Stochastic Resonance in an Asymmetric Bistable System Subject to Frequency Mixing Periodic Force and Noise. Chin. Phys. Lett., 2005, 22(5): 1061-1064.