Hopf bifurcation of nonlinear system with multisource stochastic factors

作     者：Xinyu Bai Shaojuan Ma Qianling Zhang Qiyi Liu Xinyu Bai;Shaojuan Ma;Qianling Zhang;Qiyi Liu

作者机构：School of Mathematics and Information ScienceNorth Minzu UniversityYinChuanNingXia 750021China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2023年第13卷第2期

页      面：93-97页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学] 

基　　金：This work was supported by the grants from the National Nat-ural Science Foundation of China(No.11772002) Ningxia higher education first-class discipline construction funding project(No.NXYLXK2017B09) Major Special project of North Minzu University(No.ZDZX201902) Open project of The Key Laboratory of In-telligent Information and Big Data Processing of NingXia Province(No.2019KLBD008) Postgraduate Innovation Project of North Minzu University(No.YCX22099) 

主　　题：Multisource stochastic factors Gaussian white noise K-L decomposition Hopf bifurcation Random parameter 

摘      要：The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random ***,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 ***,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are *** the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is ***,the theorical results are verified by the numerical simulations.