Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise |
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Authors: | Guo Feng Zhou Yu-Rong and Zhang Yu |
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Institution: | School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China; School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China; College of Economics and Management, Southwest University of Science and Technology, Mianyang 621010, China |
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Abstract: | This paper investigates the stochastic resonance in a time-delayed bistable system subjected to multiplicative and additive white noise and asymmetric dichotomous noise. Under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) is obtained. It finds that the SNR is a non-monotonic function of the delayed times, of the amplitude of the driving square-wave signal, as well as of the asymmetry of the dichotomous noise. In addition, the SNR varies non-monotonously with the intensities of the multiplicative and additive noise as well as the system parameters. Moreover, the SNR depends non-monotonically on the correlate rate of the dichotomous noise. |
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Keywords: | stochastic resonance time-delayed bistable system signal-to-noise ratio |
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