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

Figure 9

Second moment stability, excitation given by the first-order filter (4.3): plot of 𝛽_cr as a function of Ω for 𝜎²=0.005, 𝛼=10, 𝜀=1, 𝜔₀=2π, 𝜁₀=0.05.