Non-Markovian parametrical vibration
The solution and its stability of Hill's equation with frequency and damping coefficient fluctuated by stochastic process modeled by Ornstein- Uhlenbeck noise is investigated. The application of Hermandez-Machado's and San Miguel's formulas allow us to calculate the mean value and the second-order moments of the solution process. The non-Markovian effect of dependence of the parametrical vibration frequency on the noise intensity is determined. The investigations of the moments of the solution give conditions for stability.
scientific article; zbMATH DE number 3977463
scientific article