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...

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Bibliographic Details
Published inMATEC Web of Conferences Vol. 95; p. 4008
Main Authors Lu, Jiarong, Zhang, Jiangang, Du, Wenju, Luo, Hongwei
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2017
Subjects
Bifurcation theory
Economic models
Hamiltonian functions
High speed
Hopf bifurcation
Monte Carlo simulation
Probability density functions
Probability theory
Random excitation
Rotor-bearing systems
Stability
System theory
Systems theory
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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