TY - JOUR
T1 - Systematic adiabatic analysis of a nonlinear oscillator with inertia driven by colored noise
AU - Wu, Michelle M.
AU - Billah, K. Y.R.
AU - Shinozuka, Masanobu
PY - 1995
Y1 - 1995
N2 - The Duffing oscillator with inertia excited by colored noise is studied and a colored Fokker-Planck equation and reduced stationary probability density function is obtained by systematic adiabatic expansion. The second-order moments are presented for different values of system parameters and numerical simulation is carried out. In the region where perturbation is valid, i.e., where ε∼0.1, and when correlation time τ of noise is of the same order of system time scale 1/γ, the results of adiabatic expansion agree very well with that of numerical simulation.
AB - The Duffing oscillator with inertia excited by colored noise is studied and a colored Fokker-Planck equation and reduced stationary probability density function is obtained by systematic adiabatic expansion. The second-order moments are presented for different values of system parameters and numerical simulation is carried out. In the region where perturbation is valid, i.e., where ε∼0.1, and when correlation time τ of noise is of the same order of system time scale 1/γ, the results of adiabatic expansion agree very well with that of numerical simulation.
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U2 - 10.1103/PhysRevE.52.3377
DO - 10.1103/PhysRevE.52.3377
M3 - Article
AN - SCOPUS:0347439882
SN - 1063-651X
VL - 52
SP - 3377
EP - 3380
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
ER -