Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systems

Topics in the Theory of Random Noise

R.G. Medhurst · Electronics and Power · 1969 · 2.1K citations

Natural Sciences, Mathematics, Physics +12

Stochastic averaging: An approximate method of solving random vibration problems

J. B. Roberts, Pol D. Spanos · International Journal of Non-Linear Mechanics · 1986 · 573 citations

Engineering, Mechanical Engineering, Physics +12

Necessary and Sufficient Conditions for the Asymptotic Stability of Linear Stochastic Systems

R. Z. Khas’minskiĭ · Theory of Probability and Its Applications · 1967 · 324 citations

Engineering, Mathematics, Dynamical Systems +15

Stochastic Averaging of Quasi-Integrable Hamiltonian Systems

Wei Zhu, Z.L. Huang, Y. Q. Yang · Journal of Applied Mechanics · 1997 · 206 citations

Natural Sciences, Mathematics, Dynamical Systems +16

Stochastic Averaging Methods in Random Vibration

Weiqiu Zhu · Applied Mechanics Reviews · 1988 · 173 citations

Engineering, Mechanical Engineering, Systems Engineering +16