Response of a Duffing—Rayleigh system with a fractional derivative under Gaussian white noise excitation
Zhang Ran-Ran, Xu Wei†
, Yang Gui-Dong, Han Qun
, Yang Gui-Dong, Han Qun 
Response of a Duffing—Rayleigh system with a fractional derivative under Gaussian white noise excitation |
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Zhang Ran-Ran, Xu Wei†
, Yang Gui-Dong, Han Qun |
| Joint PDFs of displacement X and velocity Y = Ẋ in the case of α = 0.6, ω 0 = 2.5, k = 1.2, γ = 1.0, D = 0.06, β 1 = 0.05, and β 2 = –0.05: panel (a) shows the analytical result, and panel (b) refers to the Monte Carlo result. |
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