Stochastic resonance in an asymmetric bistable system driven by correlated multiplicative and additive noise

Jin, Yanfei; Xu, Wei; Xu, Meng

doi:10.1016/j.chaos.2005.02.026

Cited by 48 publications

(22 citation statements)

References 22 publications

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“…Y Jia obtained the Fokker-Planck equation for bistable systems with correlated noises [14][15][16]. Then, the problem of mean first-passage time and the phenomenon of stochastic resonance was studied [17][18][19][20][21][22]. Recently, stochastic resonance in time-delayed bistable systems driven by weak periodic signal was investigated [23].…”

Section: Introductionmentioning

confidence: 99%

Stochastic time-delayed systems driven by correlated noises: Steady-state analysis

Zhang

et al. 2009

Physica A: Statistical Mechanics and its Applications

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Section: Introductionmentioning

confidence: 99%

Stochastic time-delayed systems driven by correlated noises: Steady-state analysis

Zhang

et al. 2009

Physica A: Statistical Mechanics and its Applications

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“…Asymmetry has been introduced to fluxgate magnetometers and superconducting quantum interference devices to detect weak signals. [18][19][20][21][22]28,29 These studies motivated us to also further analyze the effects of Gaussian white noise and periodic signal on the SR phenomenon of second-order and underdamped asymmetric bistable system.…”

Section: Introductionmentioning

confidence: 99%

Stochastic resonance in second-order and underdamped asymmetric bistable system

2015

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The phenomenon of stochastic resonance (SR) in a second-order and underdamped asymmetric bistable system is investigated. The second-order asymmetric bistable system with Gauss white noise is stochastically equivalent to two-dimensional Markovian process, and the exact expression of the signal-to-noise ratio (SNR) of system response in the presence of weak periodic driving force is obtained under the adiabatic condition and the theory of two-state model intensities. The influences of the damping parameter, asymmetry constant r and the Gaussian white noises on the SNR are discussed. The present calculation results show that, the increase of static asymmetry r and damping parameter γ can restrain the SR phenomenon appears. However, the increase of signal amplitude A can enhance SR.

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“…3, we plotted the curves of SNR as a function of the multiplicative noise intensity D for different value of p under x(t=O) = x + and ,1= -0. 5. With D increasing, the SNR curves exhibit a valley and then a peak, which are not appeared in the cases of A � 0 .…”

Section: The Signal-to-noise Ratio Of the Bistable Systemmentioning

confidence: 81%

Stochastic resonance in a bistable system driven by non-gaussian noise and gaussian noise

Meng

Pei

2014

2014 IEEE Workshop on Electronics, Computer and Applications

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The stochastic resonance in a bistable system driven by multiplicative non-Gaussian noise and additive Gaussian white noise is studied by using the theory of signal-to-noise ratio. The non-Markovian process is reduced to a Markovian process through a path integral approach and an approximate Fokker-Planck equation is obtained by applying the unified colored noise approximation. The expression of the signal-to noise ratio is obtained by using the adiabatic limit. The effects of the non-Gaussian parameter p on the stochastic resonance are discussed. It is found that the non-Gaussian noise enhances the stochastic resonance in the case of p> 1 and it restrains the stochastic resonance in the case of p<1. The optimal value of resonance noise intensity D decreases with p increasing when the correlative strength A < ° , however, it increases with p increasing when A 2: °

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Stochastic resonance in an asymmetric bistable system driven by correlated multiplicative and additive noise

Cited by 48 publications

References 22 publications

Stochastic time-delayed systems driven by correlated noises: Steady-state analysis

Stochastic time-delayed systems driven by correlated noises: Steady-state analysis

Stochastic resonance in second-order and underdamped asymmetric bistable system

Stochastic resonance in a bistable system driven by non-gaussian noise and gaussian noise

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