Stochastic Stability and Bifurcation of A High Speed Rotor-Bearing System with Random Excitation
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...
Saved in:
Published in | MATEC Web of Conferences Vol. 95; p. 4008 |
---|---|
Main Authors | , , , |
Format | Journal Article Conference Proceeding |
Language | English |
Published |
Les Ulis
EDP Sciences
01.01.2017
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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. |
---|---|
ISSN: | 2261-236X 2274-7214 2261-236X |
DOI: | 10.1051/matecconf/20179504008 |