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

Figure 11

Excitation from the second-order filter (4.6): plots of 𝛽_cr as a function of Ω: 𝜀=1, 𝜔₀=2π, 𝜁₀=0.05, 𝜎²=0.01, 𝜁_𝑓=0.10, black line 𝜔_𝑓=2π, blue line 𝜔_𝑓=4π.