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Stochastic Resonance in an Asymmetric Bistable System Subject to Frequency Mixing Periodic Force and Noise |
| JIN Yan-Fei1;XU Wei1;XU Meng2 |
| 1Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072
2Department of Automatic Control, Northwestern Polytechnical University, Xi’an 710072 |
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| Cite this article: |
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JIN Yan-Fei, XU Wei, XU Meng 2005 Chin. Phys. Lett. 22 1061-1064 |
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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.
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05.40.-a
02.50.-r
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Published: 01 May 2005
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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