Stochastic Stability of Damped Mathieu Oscillator Parametrically Excited by a Gaussian Noise

Figure 2

First moment stability: plot of 𝜎²_cras a function of Ω from (4.8), second-order filter: 𝜔₀=2π, 𝜁₀=0.05, and 𝜁_𝑓=0.10; top plot 𝜔_𝑓=𝜔₀, bottom plot 𝜔_𝑓=2𝜔₀.

(a)

(b)