Trichotomous noise induced stochastic resonance in a linear system

Lang, Rongling; Yang, Liang; Qin, Honglei; Di, Genhu

doi:10.1007/s11071-012-0358-6

Cited by 22 publications

(9 citation statements)

References 23 publications

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“…Especially, the SR of linear harmonic oscillators affected by complex environmental fluctuations has been widely investigated. [26][27][28][29][30][31] For example, Sauga [26] studied the resonant behavior of a fractional oscillator with fluctuating mass. Lang [27] investigated the SR of a linear system with random damping.…”

Section: Introductionmentioning

confidence: 99%

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Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency*

Jiang

et al. 2021

Chinese Phys. B

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The collective behaviors of two coupled harmonic oscillators with dichotomous fluctuating frequency are investigated, including stability, synchronization, and stochastic resonance (SR). First, the synchronization condition of the system is obtained. When this condition is satisfied, the mean-field behavior is consistent with any single particle behavior in the system. On this basis, the stability condition and the exact steady-state solution of the system are derived. Comparative analysis shows that, the stability condition is stronger than the synchronization condition, that is to say, when the stability condition is satisfied, the system is both synchronous and stable. Simulation analysis indicates that increasing the coupling strength will reduce the synchronization time. In weak coupling region, there is an optimal coupling strength that maximizes the output amplitude gain (OAG), thus the coupling-induced SR behavior occurs. In strong coupling region, the two particles are bounded as a whole, so that the coupling effect gradually disappears.

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Section: Introductionmentioning

confidence: 99%

“…[26][27][28][29][30][31] For example, Sauga [26] studied the resonant behavior of a fractional oscillator with fluctuating mass. Lang [27] investigated the SR of a linear system with random damping. Mankin [28] explored the SR of a harmonic oscillator with fluctuating frequency.…”

Section: Introductionmentioning

confidence: 99%

Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency*

Jiang

et al. 2021

Chinese Phys. B

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“…There have been many theoretical developments of SR in conventional bistable systems [7][8][9][10][11][12]. Recently, there have appeared some extensions of SR, such as stochastic resonance in a harmonic oscillator [13], ghost stochastic resonance in the FitzHugh-Nagumo neuron model [14,15], Transition in a Bistable Duffing System [16], time delay SR [17], trichotomous noise induced SR in a linear system [18], and superthreshold SR [19]. Literature [20][21][22] proposes a new model of multistable system.…”

Section: Introductionmentioning

confidence: 99%

“…Literature [20][21][22] proposes a new model of multistable system. However, [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] did not study the SNR. In this paper, we use the model of multistable system driven by periodic signal and white noise which can realize the maximum utilization of noise and obtain better detection effects.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Resonance in a Multistable System Driven by Gaussian Noise

Shi

Pei

et al. 2016

Discrete Dynamics in Nature and Society

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Stochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parametersb,c, anddon the SNR; the results show that SNR is a nonmonotonic function of the noise intensity; therefore, a multistable SR is found in this system, and the value of the peak changes with changing the system parameters.

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“…The trichotomous process [31,32] is a special case of a kangaroo process of which the flatness parameter is expressed by the parameter q:…”

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confidence: 99%

Trichotomous Noise Induced Resonance Behavior for a Fractional Oscillator with Random Mass

Zhong

Gao

2015

J Stat Phys

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We investigate the stochastic resonance (SR) phenomenon in a fractional oscillator with random mass under the external periodic force. The fluctuations of the mass are modeled as a trichotomous noise. Applying the Shapiro-Loginov formula and the Laplace transform technique, we obtain the exact expression of the first moment of the system. The non-monotonic behaviors of the spectral amplification (SPA) versus the driving frequency indicate that the bona fide SR appears. The necessary and sufficient conditions for the emergence of the generalized stochastic resonance phenomena on the noise flatness and on the noise intensity in the particular case of = ω 0 , v → 0 are established. Particularly, the hypersensitive response of the SPA to the noise intensity is found, which is previously reported and believed to be absent in the case of dichotomous noise.

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Trichotomous noise induced stochastic resonance in a linear system

Cited by 22 publications

References 23 publications

Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency*

Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency*

Stochastic Resonance in a Multistable System Driven by Gaussian Noise

Trichotomous Noise Induced Resonance Behavior for a Fractional Oscillator with Random Mass

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