Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal

Juan Wu; Yong Xu; Huiqing Zhang

doi:10.1109/ICSESS.2011.5982332

Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal

Juan Wu, Yong Xu, Huiqing Zhang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Through the nonmonotonicity of the amplitude of the periodic response, the parameter-induced stochastic resonance of the linear system modulated by bias signal for the multiplicative three-state Markovian noise is researched. We obtain the exact expression of the periodic response of the system. Then the nonmonotonic dependence of the amplitude of the periodic response on the parameters of the asymmetry degree, the switching rate and the value states of the three-state Markovian noise is analyzed. It is shown that, in some circumstances, the parameters of the three-state Markovian noise can induce the stochastic resonance in a linear system modulated by bias signal.

Original language	English
Title of host publication	ICSESS 2011 - Proceedings
Subtitle of host publication	2011 IEEE 2nd International Conference on Software Engineering and Service Science
Pages	381-384
Number of pages	4
DOIs	https://doi.org/10.1109/ICSESS.2011.5982332
State	Published - 2011
Event	2011 IEEE 2nd International Conference on Software Engineering and Service Science, ICSESS 2011 - Beijing, China Duration: 15 Jul 2011 → 17 Jul 2011

Publication series

Name	ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science

Conference

Conference	2011 IEEE 2nd International Conference on Software Engineering and Service Science, ICSESS 2011
Country/Territory	China
City	Beijing
Period	15/07/11 → 17/07/11

Keywords

linear system
modulated signal
multiplicative three-state Markovian noise
Stochastic resonance

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10.1109/ICSESS.2011.5982332

Cite this

Wu, J., Xu, Y., & Zhang, H. (2011). Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal. In ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science (pp. 381-384). Article 5982332 (ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science). https://doi.org/10.1109/ICSESS.2011.5982332

Wu, Juan ; Xu, Yong ; Zhang, Huiqing. / Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal. ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science. 2011. pp. 381-384 (ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science).

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title = "Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal",

abstract = "Through the nonmonotonicity of the amplitude of the periodic response, the parameter-induced stochastic resonance of the linear system modulated by bias signal for the multiplicative three-state Markovian noise is researched. We obtain the exact expression of the periodic response of the system. Then the nonmonotonic dependence of the amplitude of the periodic response on the parameters of the asymmetry degree, the switching rate and the value states of the three-state Markovian noise is analyzed. It is shown that, in some circumstances, the parameters of the three-state Markovian noise can induce the stochastic resonance in a linear system modulated by bias signal.",

keywords = "linear system, modulated signal, multiplicative three-state Markovian noise, Stochastic resonance",

author = "Juan Wu and Yong Xu and Huiqing Zhang",

year = "2011",

doi = "10.1109/ICSESS.2011.5982332",

language = "英语",

isbn = "9781424496969",

series = "ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science",

pages = "381--384",

booktitle = "ICSESS 2011 - Proceedings",

note = "2011 IEEE 2nd International Conference on Software Engineering and Service Science, ICSESS 2011 ; Conference date: 15-07-2011 Through 17-07-2011",

}

Wu, J, Xu, Y & Zhang, H 2011, Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal. in ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science., 5982332, ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science, pp. 381-384, 2011 IEEE 2nd International Conference on Software Engineering and Service Science, ICSESS 2011, Beijing, China, 15/07/11. https://doi.org/10.1109/ICSESS.2011.5982332

Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal. / Wu, Juan; Xu, Yong; Zhang, Huiqing.
ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science. 2011. p. 381-384 5982332 (ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Xu, Yong

AU - Zhang, Huiqing

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N2 - Through the nonmonotonicity of the amplitude of the periodic response, the parameter-induced stochastic resonance of the linear system modulated by bias signal for the multiplicative three-state Markovian noise is researched. We obtain the exact expression of the periodic response of the system. Then the nonmonotonic dependence of the amplitude of the periodic response on the parameters of the asymmetry degree, the switching rate and the value states of the three-state Markovian noise is analyzed. It is shown that, in some circumstances, the parameters of the three-state Markovian noise can induce the stochastic resonance in a linear system modulated by bias signal.

AB - Through the nonmonotonicity of the amplitude of the periodic response, the parameter-induced stochastic resonance of the linear system modulated by bias signal for the multiplicative three-state Markovian noise is researched. We obtain the exact expression of the periodic response of the system. Then the nonmonotonic dependence of the amplitude of the periodic response on the parameters of the asymmetry degree, the switching rate and the value states of the three-state Markovian noise is analyzed. It is shown that, in some circumstances, the parameters of the three-state Markovian noise can induce the stochastic resonance in a linear system modulated by bias signal.

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KW - modulated signal

KW - multiplicative three-state Markovian noise

KW - Stochastic resonance

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Wu J, Xu Y, Zhang H. Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal. In ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science. 2011. p. 381-384. 5982332. (ICSESS 2011 - Proceedings: 2011 IEEE 2nd International Conference on Software Engineering and Service Science). doi: 10.1109/ICSESS.2011.5982332

Parameter-induced stochastic resonance for multiplicative three-state Markovian noise in a linear system with modulated signal

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