The application of asymptotic methods to certain stochastic problems of the dynamics of vibropercussive systems (Q1080682)

Motion of certain vibropercussive systems acted upon by a random, non- white noise perturbation is studied, using the limit theorems of the convergence of the solutions of stochastic differential equations to a diffusion process. The results for smooth systems, are generalized to include systems with discontinuous and impulsive right-hand sides by approximating the discontinuous functions by a converging sequence of smooth functions. An analogous approach is described for vibropercussive systems, and regions of stability of the perturbed motion are constructed.