应用数学和力学2024，Vol.45Issue(12)：1506-1514,9.DOI:10.21656/1000-0887.440375
强噪声作用下双稳态Van der Pol系统的随机分岔
Stochastic Bifurcations of Bi-Stable Van der Pol Systems Under Strong Noise
摘要
Abstract
The analysis of the stochastic bifurcation behaviors of stochastic nonlinear systems often requires ar-tificial judgment based on the joint probability density and cannot be automated.A new calculation method for automatic calculation of random bifurcation points was proposed.The bi-stable Van der Pol system under strong noise excitation was taken as an example,the influences of damping coefficient changes on stochastic dynamic responses were analyzed.The research results show that,the joint probability density of the system bifurcates for 3 times with the increase of the damping coefficient,exhibiting 4 different types of geometric features.The proposed method can hopefully be applied to the study of stochastic bifurcation behaviors of other stochastic nonlinear systems.关键词
随机P分岔/分岔点/联合概率密度/自动计算Key words
stochastic P-bifurcation/bifurcation point/joint probability density/automatic calculation分类
力学引用本文复制引用
郜心茹,吴志强,陈胜利..强噪声作用下双稳态Van der Pol系统的随机分岔[J].应用数学和力学,2024,45(12):1506-1514,9.
