信阳师范学院学报（自然科学版）2017，Vol.30Issue(3)：354-357,4.DOI:10.3969/j.issn.1003-0972.2017.03.003
平面多体机械系统的随机稳定性及Hopf分岔分析
Stochastic Stability and Hopf Bifurcation Behavior of Planar Multi-Body Mechanical System
摘要
Abstract
Firstly,the stochastic nonlinear dynamic model of the multi-body mechanical system was established, the It differentiation equation and the corresponding FPK equation of the response-transition probability density function with the diffusing process were obtained.Then,the Hopf bifurcation behavior of the planar multi-body mechanical system was studied by using the quasi-nonintegrable Hamilton system theory.The conditions of local and global stability of the system were discussed by largest Lyapunov exponent and boundary category.Finally,the functional image of stationary probability density and jointly stationary probability density were simulated to verify the theorectical results.关键词
平面多体机械系统/拟不可积Hamilton理论/随机平均法/随机稳定性/随机Hopf分岔Key words
multi-body mechanical system/quasi-nonintegrable Hamilton system theory/stochastic stability/stochastic Hopf bifurcation分类
信息技术与安全科学引用本文复制引用
白宝丽,张建刚,杜文举,卢家荣..平面多体机械系统的随机稳定性及Hopf分岔分析[J].信阳师范学院学报（自然科学版）,2017,30(3):354-357,4.基金项目
国家自然科学基金项目(61364001) （61364001）
