摘要
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.
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).
