Effect of recycled noise of a fractional nonlinear oscillator subjected to multiplicative and additive recycled noises

Shiqi Jiang; Qian Qiu; Shihui Yuan; Xiaojiang Shi; Liang Li; Xueyuan Zhang; Kechang Fu; Dongxing Qin; Feng Guo; Zhanxue Wang; Jiajia Yan; Lin Wang; Yuxin Wang

doi:10.1007/s12043-023-02632-y

Effect of recycled noise of a fractional nonlinear oscillator subjected to multiplicative and additive recycled noises

Shiqi Jiang, Qian Qiu, Shihui Yuan, Xiaojiang Shi, Liang Li, Xueyuan Zhang, Kechang Fu, Dongxing Qin, Feng Guo, Zhanxue Wang, Jiajia Yan, Lin Wang, Yuxin Wang

School of Power and Energy

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

Abstract

The stochastic resonance (SR) phenomenon of a fractional nonlinear oscillator with multiplicative noise and additive recycled noise is investigated. The transition rates caused by the master noise and by the recycled noise have been deduced based on the two-state theory. The spectral amplification (SA) of the oscillator has been derived by applying linear response theory. It is shown that the periodic SR phenomenon occurs when the SA varies with the time delay of the recycled noise. A single resonance peak takes place when the SA changes with the increase in the feedback intensity of the recycled noise. The SA presents a resonance peak at a certain amount of multiplicative and additive noise. Damping-induced SR appears when the SA changes with the damping coefficient of the oscillator.

Original language	English
Article number	150
Journal	Pramana - Journal of Physics
Volume	97
Issue number	4
DOIs	https://doi.org/10.1007/s12043-023-02632-y
State	Published - Dec 2023

Keywords

02.50.−r
05.40.−a
Stochastic resonance
fractional nonlinear oscillator
multiplicative noise
recycled noise
spectral amplification

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10.1007/s12043-023-02632-y

Cite this

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title = "Effect of recycled noise of a fractional nonlinear oscillator subjected to multiplicative and additive recycled noises",

abstract = "The stochastic resonance (SR) phenomenon of a fractional nonlinear oscillator with multiplicative noise and additive recycled noise is investigated. The transition rates caused by the master noise and by the recycled noise have been deduced based on the two-state theory. The spectral amplification (SA) of the oscillator has been derived by applying linear response theory. It is shown that the periodic SR phenomenon occurs when the SA varies with the time delay of the recycled noise. A single resonance peak takes place when the SA changes with the increase in the feedback intensity of the recycled noise. The SA presents a resonance peak at a certain amount of multiplicative and additive noise. Damping-induced SR appears when the SA changes with the damping coefficient of the oscillator.",

keywords = "02.50.−r, 05.40.−a, Stochastic resonance, fractional nonlinear oscillator, multiplicative noise, recycled noise, spectral amplification",

author = "Shiqi Jiang and Qian Qiu and Shihui Yuan and Xiaojiang Shi and Liang Li and Xueyuan Zhang and Kechang Fu and Dongxing Qin and Feng Guo and Zhanxue Wang and Jiajia Yan and Lin Wang and Yuxin Wang",

note = "Publisher Copyright: {\textcopyright} 2023, Indian Academy of Sciences.",

year = "2023",

month = dec,

doi = "10.1007/s12043-023-02632-y",

language = "英语",

volume = "97",

journal = "Pramana - Journal of Physics",

issn = "0304-4289",

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TY - JOUR

T1 - Effect of recycled noise of a fractional nonlinear oscillator subjected to multiplicative and additive recycled noises

AU - Jiang, Shiqi

AU - Qiu, Qian

AU - Yuan, Shihui

AU - Shi, Xiaojiang

AU - Li, Liang

AU - Zhang, Xueyuan

AU - Fu, Kechang

AU - Qin, Dongxing

AU - Guo, Feng

AU - Wang, Zhanxue

AU - Yan, Jiajia

AU - Wang, Lin

AU - Wang, Yuxin

PY - 2023/12

Y1 - 2023/12

N2 - The stochastic resonance (SR) phenomenon of a fractional nonlinear oscillator with multiplicative noise and additive recycled noise is investigated. The transition rates caused by the master noise and by the recycled noise have been deduced based on the two-state theory. The spectral amplification (SA) of the oscillator has been derived by applying linear response theory. It is shown that the periodic SR phenomenon occurs when the SA varies with the time delay of the recycled noise. A single resonance peak takes place when the SA changes with the increase in the feedback intensity of the recycled noise. The SA presents a resonance peak at a certain amount of multiplicative and additive noise. Damping-induced SR appears when the SA changes with the damping coefficient of the oscillator.

AB - The stochastic resonance (SR) phenomenon of a fractional nonlinear oscillator with multiplicative noise and additive recycled noise is investigated. The transition rates caused by the master noise and by the recycled noise have been deduced based on the two-state theory. The spectral amplification (SA) of the oscillator has been derived by applying linear response theory. It is shown that the periodic SR phenomenon occurs when the SA varies with the time delay of the recycled noise. A single resonance peak takes place when the SA changes with the increase in the feedback intensity of the recycled noise. The SA presents a resonance peak at a certain amount of multiplicative and additive noise. Damping-induced SR appears when the SA changes with the damping coefficient of the oscillator.

KW - 02.50.−r

KW - 05.40.−a

KW - Stochastic resonance

KW - fractional nonlinear oscillator

KW - multiplicative noise

KW - recycled noise

KW - spectral amplification

UR - http://www.scopus.com/inward/record.url?scp=85171352749&partnerID=8YFLogxK

U2 - 10.1007/s12043-023-02632-y

DO - 10.1007/s12043-023-02632-y

M3 - 文章

AN - SCOPUS:85171352749

SN - 0304-4289

VL - 97

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

IS - 4

M1 - 150

ER -

Effect of recycled noise of a fractional nonlinear oscillator subjected to multiplicative and additive recycled noises

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Keywords

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