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Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise |
Guo Feng(郭锋)a)†, Zhou Yu-Rong(周玉荣)b), and Zhang Yu(张宇)c) |
a School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China; b School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China; c 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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Accepted manuscript online:
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PACS:
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05.40.Ca
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(Noise)
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07.05.Dz
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(Control systems)
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02.30.Ks
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(Delay and functional equations)
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02.50.Fz
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(Stochastic analysis)
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Fund: Project supported by the Doctor Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108). |
Cite this article:
Guo Feng(郭锋), Zhou Yu-Rong(周玉荣), and Zhang Yu(张宇) Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise 2010 Chin. Phys. B 19 070504
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