Hopf bifurcation of nonlinear system with multisource stochastic factors

The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal d...

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Bibliographic Details
Published in力学快报（英文版） Vol. 13; no. 2; pp. 93 - 97
Main Authors Xinyu Bai, Shaojuan Ma, Qianling Zhang, Qiyi Liu
Format Journal Article
LanguageEnglish
Published School of Mathematics and Information Science,North Minzu University,YinChuan,NingXia 750021,China 2023
Subjects
Gaussian white noise
Random parameter
K-L decomposition
Hopf bifurcation
Multisource stochastic factors
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Summary:The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposi-tion method and the Karhunen-Loeve(K-L)decomposition theory.Secondly,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained.At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored.Finally,the theorical results are verified by the numerical simulations.
ISSN:2095-0349
DOI:10.3969/j.issn.2095-0349.2023.02.003