Stochastic resonance in a time-delayed bistable system driven by trichotomous noise

Zhou, Bingchang; Lin, Dandan

doi:10.1007/s12648-016-0925-7

Cited by 12 publications

(2 citation statements)

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“…Trichotomous noise belongs to colored noise. e transitions state of trichotomous noise is between three values (a, b, and c) [42] and it is divided into symmetry trichotomous noise (a � − c, b � 0) and asymmetry trichotomous noise (a ≠ − c, b ≠ 0) according to the fluctuation values. e trichotomous process is a Poisson process, and the jump between the three values occurs with the constant probabilities:…”

Section: Methods Of Generating Trichotomous Noisementioning

confidence: 99%

“…However, it should be noted that most of the noise in a physical system is not gaussian white noise. Trichotomous noise is a function of the time variable t that is converted between the three values of a, b, c. Considerable research efforts have been devoted to SR phenomenon driven by trichotomous noise [41][42][43][44]. However, SR systems with asymmetric potential function driven by trichotomous noise have not been realized yet.…”

Section: Introductionmentioning

confidence: 99%

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Performance Investigation of Stochastic Resonance in Three Types of Asymmetric Bistable System Driven by Trichotomous Noise

Zhao

Liu

et al. 2020

Complexity

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This paper proposes a new system whose potential function is with three types of asymmetric potential wells, driven by trichotomous noise. Firstly, the three types of asymmetric bistable system are described in detail, and the changes of asymmetric bistable system potential function under different asymmetric factors are analyzed. Secondly, the effect of potential function parameters, asymmetric factor α , noise intensity D, and the probability of particle transition q is discussed, using numerical simulation. The detection effects of traditional symmetric SR and three types of asymmetric SR are observed and compared under the driving of trichotomous noise and periodic signals. The mean of signal-to-noise ratio gain is the indicator of the system's effectiveness on enhancing weak signal. The results indicate that it can make the detection effect of the asymmetric system better than that of the traditional bistable system by adjusting the parameters of the asymmetric stochastic resonance system and trichotomous noise.

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Section: Methods Of Generating Trichotomous Noisementioning

confidence: 99%