文章基本信息

标题：Stochastic Stability and Bifurcation of A High Speed Rotor-Bearing System with Random Excitation
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作者：Jiarong Lu ; Jiarong Lu ; Jiangang Zhang 等
期刊名称：MATEC Web of Conferences
电子版ISSN：2261-236X
出版年度：2017
卷号：95
页码：1-5
DOI：10.1051/matecconf/20179504008
语种：English
出版社：EDP Sciences
摘要：In this paper, a high speed rotor-bearing system with stochastic excitation is considered, and study the stability and Hopf bifurcation of the system by using quasi-nonintegrable Hamiltonian system theory. Then, the conditions of local and global stability of system are obtained by largest Lyapunov exponent and boundary category. Finally, the solution of FPK equation can be got, which is stationary probability density function and jointly stationary probability density function, and then, by simulating its graph to illustrate the results.