Stochastic resonance in a trapping overdamped monostable system

Davide Valenti; Bernardo Spagnolo; null Krichigin; null Agudov; null Spagnolo; null Valenti

Stochastic resonance in a trapping overdamped monostable system

Davide Valenti, Bernardo Spagnolo, Krichigin, Agudov, Spagnolo, Valenti

Fisica e Chimica - Emilio Segrè

Research output: Contribution to journal › Article › peer-review

70 Citations (Scopus)

Abstract

The response of a trapping overdamped monostable system to a harmonic perturbation is analyzed, in the context of stochastic resonance phenomenon. We consider the dynamics of a Brownian particle moving in a piecewise linear potential with a white Gaussian noise source. Based on linear-response theory and Laplace transform technique, analytical expressions of signal-to-noise ratio (SNR) and signal power amplification (SPA) are obtained. We find that the SNR is a nonmonotonic function of the noise intensity, while the SPA is monotonic. Theoretical results are compared with numerical simulations.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
Volume	81
Publication status	Published - 2010

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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title = "Stochastic resonance in a trapping overdamped monostable system",

abstract = "The response of a trapping overdamped monostable system to a harmonic perturbation is analyzed, in the context of stochastic resonance phenomenon. We consider the dynamics of a Brownian particle moving in a piecewise linear potential with a white Gaussian noise source. Based on linear-response theory and Laplace transform technique, analytical expressions of signal-to-noise ratio (SNR) and signal power amplification (SPA) are obtained. We find that the SNR is a nonmonotonic function of the noise intensity, while the SPA is monotonic. Theoretical results are compared with numerical simulations.",

author = "Davide Valenti and Bernardo Spagnolo and Krichigin and Agudov and Spagnolo and Valenti",

year = "2010",

language = "English",

volume = "81",

pages = "1--8",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society",

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T1 - Stochastic resonance in a trapping overdamped monostable system

AU - Valenti, Davide

AU - Spagnolo, Bernardo

AU - Krichigin, null

AU - Agudov, null

AU - Spagnolo, null

AU - Valenti, null

PY - 2010

Y1 - 2010

N2 - The response of a trapping overdamped monostable system to a harmonic perturbation is analyzed, in the context of stochastic resonance phenomenon. We consider the dynamics of a Brownian particle moving in a piecewise linear potential with a white Gaussian noise source. Based on linear-response theory and Laplace transform technique, analytical expressions of signal-to-noise ratio (SNR) and signal power amplification (SPA) are obtained. We find that the SNR is a nonmonotonic function of the noise intensity, while the SPA is monotonic. Theoretical results are compared with numerical simulations.

AB - The response of a trapping overdamped monostable system to a harmonic perturbation is analyzed, in the context of stochastic resonance phenomenon. We consider the dynamics of a Brownian particle moving in a piecewise linear potential with a white Gaussian noise source. Based on linear-response theory and Laplace transform technique, analytical expressions of signal-to-noise ratio (SNR) and signal power amplification (SPA) are obtained. We find that the SNR is a nonmonotonic function of the noise intensity, while the SPA is monotonic. Theoretical results are compared with numerical simulations.

UR - http://hdl.handle.net/10447/50181

M3 - Article

VL - 81

SP - 1

EP - 8

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

ER -