contributor author | W. Q. Zhu | |
contributor author | Z. L. Huang | |
date accessioned | 2017-05-08T23:58:56Z | |
date available | 2017-05-08T23:58:56Z | |
date copyright | March, 1999 | |
date issued | 1999 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26464#211_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/121741 | |
description abstract | The averaged equations of integrable and nonresonant Hamiltonian systems of multi-degree-of-freedom subject to light damping and real noise excitations of small intensities are first derived. Then, the expression for the largest Lyapunov exponent of the square root of the Hamiltonian is formulated by generalizing the well-known procedure due to Khasminskii to the averaged equations, from which the stochastic stability and bifurcation phenomena of the original systems can be determined approximately. Linear and nonlinear stochastic systems of two degrees-of-freedom are investigated to illustrate the application of the proposed combination approach of the stochastic averaging method for quasi-integrable Hamiltonian systems and Khasminskii’s procedure. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems | |
type | Journal Paper | |
journal volume | 66 | |
journal issue | 1 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2789148 | |
journal fristpage | 211 | |
journal lastpage | 217 | |
identifier eissn | 1528-9036 | |
keywords | Stability | |
keywords | Equations | |
keywords | Stochastic systems | |
keywords | Noise (Sound) | |
keywords | Degrees of freedom | |
keywords | Damping AND Bifurcation | |
tree | Journal of Applied Mechanics:;1999:;volume( 066 ):;issue: 001 | |
contenttype | Fulltext | |