Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

Qun Han; Wei Xu; Xiaole Yue

doi:10.1007/s10483-015-1918-6

Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

Qun Han, Wei Xu, Xiaole Yue

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

11 Scopus citations

Abstract

The stochastic response of a noisy system with non-negative real-power restoring force is investigated. The generalized cell mapping (GCM) method is used to compute the transient and stationary probability density functions (PDFs). Combined with the global properties of the noise-free system, the evolutionary process of the transient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

Original language	English
Pages (from-to)	329-336
Number of pages	8
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	36
Issue number	3
DOIs	https://doi.org/10.1007/s10483-015-1918-6
State	Published - Mar 2015

Keywords

bifurcation
generalized cell mapping (GCM) method
probability density function (PDF)
real-power restoring force
stochastic response

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10.1007/s10483-015-1918-6

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title = "Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method",

abstract = "The stochastic response of a noisy system with non-negative real-power restoring force is investigated. The generalized cell mapping (GCM) method is used to compute the transient and stationary probability density functions (PDFs). Combined with the global properties of the noise-free system, the evolutionary process of the transient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.",

keywords = "bifurcation, generalized cell mapping (GCM) method, probability density function (PDF), real-power restoring force, stochastic response",

author = "Qun Han and Wei Xu and Xiaole Yue",

note = "Publisher Copyright: {\textcopyright} 2015, Shanghai University and Springer-Verlag Berlin Heidelberg.",

year = "2015",

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doi = "10.1007/s10483-015-1918-6",

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T1 - Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

AU - Han, Qun

AU - Xu, Wei

AU - Yue, Xiaole

PY - 2015/3

Y1 - 2015/3

N2 - The stochastic response of a noisy system with non-negative real-power restoring force is investigated. The generalized cell mapping (GCM) method is used to compute the transient and stationary probability density functions (PDFs). Combined with the global properties of the noise-free system, the evolutionary process of the transient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

AB - The stochastic response of a noisy system with non-negative real-power restoring force is investigated. The generalized cell mapping (GCM) method is used to compute the transient and stationary probability density functions (PDFs). Combined with the global properties of the noise-free system, the evolutionary process of the transient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

KW - bifurcation

KW - generalized cell mapping (GCM) method

KW - probability density function (PDF)

KW - real-power restoring force

KW - stochastic response

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 3

ER -

Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

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