Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises

Yanfei Jin; Wenxian Xie; Kaihe Liu

doi:10.1016/j.piutam.2017.08.035

Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises

Yanfei Jin^*
, Wenxian Xie
, Kaihe Liu

^*Corresponding author for this work

School of Aerospace Engineering

Northwestern Polytechnical University Xian
Beijing Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

7 Citations (Scopus)

Abstract

The coherence resonance (CR) and stochastic resonance (SR) in a periodic potential driven by correlated additive and multiplicative noises are studied in this paper. The effects of the system parameters on the probability density function (PDF) of the response are discussed by using the Monte-Carlo simulation. The shapes of the average joint PDF are changed from two independent peaks to a crater shape as the amplitude of the periodic force increases. The output spectrum and qualify factor are introduced to measure the CR. The qualify factor shows a pronounced peak and the intrawell CR appears. The amplitude and the phase lag of the average response first increase with increasing multiplicative noise intensity, attain a maximum, and then decrease. That is, the SR happens.

Original language	English
Pages (from-to)	267-274
Number of pages	8
Journal	Procedia IUTAM
Volume	22
DOIs	https://doi.org/10.1016/j.piutam.2017.08.035
Publication status	Published - 2017
Event	IUTAM Symposium on Nonlinear and Delayed Dynamics of Mechatronic Systems, IUTAM Symposia 2016 - Nanjing, China Duration: 17 Oct 2016 → 21 Oct 2016

Keywords

Stochastic resonance
coherence resonance
correlated noises
periodic potentials

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10.1016/j.piutam.2017.08.035

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@article{d1353fd32f5e41faacc07dbb27469e04,

title = "Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises",

abstract = "The coherence resonance (CR) and stochastic resonance (SR) in a periodic potential driven by correlated additive and multiplicative noises are studied in this paper. The effects of the system parameters on the probability density function (PDF) of the response are discussed by using the Monte-Carlo simulation. The shapes of the average joint PDF are changed from two independent peaks to a crater shape as the amplitude of the periodic force increases. The output spectrum and qualify factor are introduced to measure the CR. The qualify factor shows a pronounced peak and the intrawell CR appears. The amplitude and the phase lag of the average response first increase with increasing multiplicative noise intensity, attain a maximum, and then decrease. That is, the SR happens.",

keywords = "Stochastic resonance, coherence resonance, correlated noises, periodic potentials",

author = "Yanfei Jin and Wenxian Xie and Kaihe Liu",

note = "Publisher Copyright: {\textcopyright} 2017 The Authors.; IUTAM Symposium on Nonlinear and Delayed Dynamics of Mechatronic Systems, IUTAM Symposia 2016 ; Conference date: 17-10-2016 Through 21-10-2016",

year = "2017",

doi = "10.1016/j.piutam.2017.08.035",

language = "English",

volume = "22",

pages = "267--274",

journal = "Procedia IUTAM",

issn = "2210-9838",

}

TY - JOUR

T1 - Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises

AU - Jin, Yanfei

AU - Xie, Wenxian

AU - Liu, Kaihe

PY - 2017

Y1 - 2017

N2 - The coherence resonance (CR) and stochastic resonance (SR) in a periodic potential driven by correlated additive and multiplicative noises are studied in this paper. The effects of the system parameters on the probability density function (PDF) of the response are discussed by using the Monte-Carlo simulation. The shapes of the average joint PDF are changed from two independent peaks to a crater shape as the amplitude of the periodic force increases. The output spectrum and qualify factor are introduced to measure the CR. The qualify factor shows a pronounced peak and the intrawell CR appears. The amplitude and the phase lag of the average response first increase with increasing multiplicative noise intensity, attain a maximum, and then decrease. That is, the SR happens.

AB - The coherence resonance (CR) and stochastic resonance (SR) in a periodic potential driven by correlated additive and multiplicative noises are studied in this paper. The effects of the system parameters on the probability density function (PDF) of the response are discussed by using the Monte-Carlo simulation. The shapes of the average joint PDF are changed from two independent peaks to a crater shape as the amplitude of the periodic force increases. The output spectrum and qualify factor are introduced to measure the CR. The qualify factor shows a pronounced peak and the intrawell CR appears. The amplitude and the phase lag of the average response first increase with increasing multiplicative noise intensity, attain a maximum, and then decrease. That is, the SR happens.

KW - Stochastic resonance

KW - coherence resonance

KW - correlated noises

KW - periodic potentials

UR - https://www.scopus.com/pages/publications/85029418124

U2 - 10.1016/j.piutam.2017.08.035

DO - 10.1016/j.piutam.2017.08.035

M3 - Conference article

AN - SCOPUS:85029418124

SN - 2210-9838

VL - 22

SP - 267

EP - 274

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - IUTAM Symposium on Nonlinear and Delayed Dynamics of Mechatronic Systems, IUTAM Symposia 2016

Y2 - 17 October 2016 through 21 October 2016

ER -

Noise-induced Resonances in a Periodic Potential Driven by Correlated Noises

Abstract

Keywords

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