Stochastic response of van der Pol oscillator with two kinds of fractional derivatives under Gaussian white noise excitation

Yang Yong-Ge¹, Xu Wei^{1, †,}, Sun Ya-Hui², Gu Xu-Dong³

Stationary probability densities of amplitude A, displacement x, and velocity y of oscillator (1) with α₁ = 0.5, β₁ = 0.3, β₂ = 0.2, b₁ = b₂ = 0.05, ω = 1.0, and D = 0.4.