Hopf bifurcation of nonlinear system with multisource stochastic factors

IF 3.2 3区工程技术 Q2 MECHANICS

Theoretical and Applied Mechanics Letters Pub Date : 2023-03-01 DOI:10.1016/j.taml.2022.100417

Xinyu Bai, Shaojuan Ma, Qianling Zhang, Qiyi Liu

引用次数: 0

Abstract

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 factors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposition 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.

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具有多源随机因子的非线性系统的Hopf分岔

本文主要研究一类具有高斯白噪声激励和有界随机参数的非线性系统的Hopf分岔问题。首先，利用顺序正交分解方法和Karhunen-Loeve (K-L)分解理论，将多源随机因子非线性系统分解为等效的确定性非线性系统;其次，给出了等效确定性系统Hopf分岔的临界条件。同时探讨了多源随机因素对系统Hopf分岔的影响。最后，通过数值模拟验证了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Applied Mechanics Letters MECHANICS-

CiteScore

6.20

自引率

2.90%

发文量

545

审稿时长

12 weeks

期刊介绍： An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).