应用数学和力学2025，Vol.46Issue(12)：1527-1539,13.DOI:10.21656/1000-0887.450343
Gauss白噪声激励下时滞悬架系统的随机分岔
Random Bifurcation of Time-Delay Suspension Systems Under Gaussian White Noise Excitation
摘要
Abstract
The suspension system under random excitation and time-delay feedback control was investigated.Firstly,the conditions for the Hopf bifurcation of the system were analyzed.Secondly,the center manifold the-ory and the maximum Lyapunov exponent were used to study the local stability and stochastic D-bifurcation conditions for the system.Then the global stability was further explored with the singular boundary theory.Nu-merical simulations reveal the effects of noise intensities and time-delay feedback coefficients on the system dy-namics,thereby verifying the theoretical results.关键词
悬架系统/Gauss噪声激励/时滞反馈控制/随机分岔/随机平均法Key words
suspension system/Gauss noise excitation/time-delay feedback control/stochastic bifurcation/stochastic average method分类
数理科学引用本文复制引用
兰盼,魏周超..Gauss白噪声激励下时滞悬架系统的随机分岔[J].应用数学和力学,2025,46(12):1527-1539,13.基金项目
国家自然科学基金(12172340 （）
12411530068) （）
轨道交通运载系统全国重点实验室开放课题(RVL2501) （RVL2501）
