Systematic adiabatic analysis of a nonlinear oscillator with inertia driven by colored noise
- 1 October 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (4), 3377-3380
- https://doi.org/10.1103/physreve.52.3377
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.Keywords
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