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Stochastic resonance in a bias monostable system driven by a periodic rectangular signal and uncorrelated noises

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Abstract

The stochastic resonance in a bias monostable system driven by a periodic rectangular signal and uncorrelated noises is investigated by using the theory of signal-to-noise (SNR) in the adiabatic limit. The analytic expression of the SNR is obtained for arbitrary signal amplitude without being restricted to small amplitudes. The SNR is a nonmonotonic function of intensities of multiplicative and additive noises and the noise intensity ratio R=D/Q, so stochastic resonance exhibits in the bias monostable system. We investigate the effect of any system parameter (such as D,Q,R,r) on the SNR. It is shown that the SNR is a nonmonotonic function of the static asymmetry r, also; the SNR is decreased when |r| is increased. Moreover, the SNR is increased when the noise intensity ratio R=D/Q is increased.

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Authors and Affiliations

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, China

    Mingli Yao & Wei Xu

  2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Lijuan Ning

Authors
  1. Mingli Yao
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  2. Wei Xu
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  3. Lijuan Ning
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Correspondence to Mingli Yao.

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Yao, M., Xu, W. & Ning, L. Stochastic resonance in a bias monostable system driven by a periodic rectangular signal and uncorrelated noises. Nonlinear Dyn 67, 329–333 (2012). https://doi.org/10.1007/s11071-011-9980-y

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  • DOI: https://doi.org/10.1007/s11071-011-9980-y

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