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Stochastic resonance in an over-damped linear oscillator.

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Title: Stochastic resonance in an over-damped linear oscillator.
Authors: Li-Feng Lin1,2, Yan Tian3, Hong Ma2 mahong@scu.edu.cn
Source: Chinese Physics B. Aug2014, Vol. 23 Issue 8, p1-1. 1p.
Subjects: Stochastic resonance, Harmonic oscillators, Signal-to-noise ratio, Noise, Electronic modulation
Abstract: For an over-damped linear system subjected to both parametric excitation of colored noise and external excitation of periodically modulated noise, and in the case that the cross-correlation intensity between noises is a time-periodic function, we study the stochastic resonance (SR) in this paper. Using the Shapiro—Loginov formula, we acquire the exact expressions of the first-order and the second-order moments. By the stochastic averaging method, we obtain the analytical expression of the output signal-to-noise ratio (SNR). Meanwhile, we discuss the evolutions of the SNR with the signal frequency, noise intensity, correlation rate of noise, time period, and modulation frequency. We find a new bona fide SR. The evolution of the SNR with the signal frequency presents periodic oscillation, which is not observed in a conventional linear system. We obtain the conventional SR of the SNR with the noise intensity and the correlation rate of noise. We also obtain the SR in a wide sense, in which the evolution of the SNR with time period modulation frequency presents periodic oscillation. We find that the time-periodic modulation of the cross-correlation intensity between noises diversifies the stochastic resonance phenomena and makes this system possess richer dynamic behaviors. [ABSTRACT FROM AUTHOR]
Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 97282042
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Stochastic resonance in an over-damped linear oscillator.
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  Data: <searchLink fieldCode="AR" term="%22Li-Feng+Lin%22">Li-Feng Lin</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Yan+Tian%22">Yan Tian</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22Hong+Ma%22">Hong Ma</searchLink><relatesTo>2</relatesTo><i> mahong@scu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+B%22">Chinese Physics B</searchLink>. Aug2014, Vol. 23 Issue 8, p1-1. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Stochastic+resonance%22">Stochastic resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+oscillators%22">Harmonic oscillators</searchLink><br /><searchLink fieldCode="DE" term="%22Signal-to-noise+ratio%22">Signal-to-noise ratio</searchLink><br /><searchLink fieldCode="DE" term="%22Noise%22">Noise</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+modulation%22">Electronic modulation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: For an over-damped linear system subjected to both parametric excitation of colored noise and external excitation of periodically modulated noise, and in the case that the cross-correlation intensity between noises is a time-periodic function, we study the stochastic resonance (SR) in this paper. Using the Shapiro—Loginov formula, we acquire the exact expressions of the first-order and the second-order moments. By the stochastic averaging method, we obtain the analytical expression of the output signal-to-noise ratio (SNR). Meanwhile, we discuss the evolutions of the SNR with the signal frequency, noise intensity, correlation rate of noise, time period, and modulation frequency. We find a new bona fide SR. The evolution of the SNR with the signal frequency presents periodic oscillation, which is not observed in a conventional linear system. We obtain the conventional SR of the SNR with the noise intensity and the correlation rate of noise. We also obtain the SR in a wide sense, in which the evolution of the SNR with time period modulation frequency presents periodic oscillation. We find that the time-periodic modulation of the cross-correlation intensity between noises diversifies the stochastic resonance phenomena and makes this system possess richer dynamic behaviors. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1088/1674-1056/23/8/080503
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 1
        StartPage: 1
    Subjects:
      – SubjectFull: Stochastic resonance
        Type: general
      – SubjectFull: Harmonic oscillators
        Type: general
      – SubjectFull: Signal-to-noise ratio
        Type: general
      – SubjectFull: Noise
        Type: general
      – SubjectFull: Electronic modulation
        Type: general
    Titles:
      – TitleFull: Stochastic resonance in an over-damped linear oscillator.
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            NameFull: Li-Feng Lin
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            NameFull: Yan Tian
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            NameFull: Hong Ma
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            – D: 01
              M: 08
              Text: Aug2014
              Type: published
              Y: 2014
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              Value: 23
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            – TitleFull: Chinese Physics B
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