Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 3377-3380 |
| Number of pages | 4 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 52 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1995 |
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