Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise

宁丽娟,; 徐伟,; 姚明礼,

doi:10.1088/1009-1963/16/9/016

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Linear Response Of a Glycolytic Oscillator 21 The Model1

Noise Induced Dynamics and Stochastic Resonance1

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Cited by 8 publications

(2 citation statements)

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“…⟨ ( )⟩ = a t 0 1 . We further assume that the multiplicative noise is dichotomic [39][40][41][42][43][44], for which the correlation is given by the second moment as follows;…”

Section: Linear Response Of a Glycolytic Oscillator 21 The Modelmentioning

confidence: 99%

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The linear response of a glycolytic oscillator, driven by a multiplicative colored noise

Sarkar¹

2016

J. Stat. Mech.

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“…⟨ ( )⟩ = a t 0 1 . We further assume that the multiplicative noise is dichotomic [39][40][41][42][43][44], for which the correlation is given by the second moment as follows;…”

Section: Linear Response Of a Glycolytic Oscillator 21 The Modelmentioning

confidence: 99%

“…Under these assumptions, we apply the mathematical identities and proceed further. Such types of mathematical analysis are well-studied in the literature [28,32,44,[47][48][49].…”

Section: Noise Induced Dynamics and Stochastic Resonancementioning

confidence: 99%

The linear response of a glycolytic oscillator, driven by a multiplicative colored noise

Sarkar¹

2016

J. Stat. Mech.

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Nonlinear effect of time delay on the generalized stochastic resonance in a fractional oscillator with multiplicative polynomial noise

et al. 2017

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Stochastic resonance in the overdamped fractional oscillator subject to multiplicative dichotomous noise

Luo

2013

Phys. Scr.

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With the increasingly deep studies in physics and technology, the behavior of fractional oscillators have become the focus of scientific research. In this paper, the stochastic resonance (SR) mechanism of the overdamped fractional oscillator subject to multiplicative dichotomous noise is extensively investigated. Using the Shapiro–Loginov formula and the Laplace transformation technique, the exact expression for complex susceptibility is obtained. Resorting to numerical simulations, the SR phenomenon of the overdamped fractional oscillator is studied. Especially, the frequency of the external periodic force that induces multiresonance.

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Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise

Cited by 8 publications

References 22 publications

The linear response of a glycolytic oscillator, driven by a multiplicative colored noise

The linear response of a glycolytic oscillator, driven by a multiplicative colored noise

Nonlinear effect of time delay on the generalized stochastic resonance in a fractional oscillator with multiplicative polynomial noise

Stochastic resonance in the overdamped fractional oscillator subject to multiplicative dichotomous noise

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