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

Figure 8

Second moment stability, excitation given by the first-order filter (4.3): plot of 𝜎²_cr as a function of Ω for 𝛽=0.1, 𝛼=10, 𝜀=1, 𝜔₀=2𝜋,𝜁₀=0.05.