Mechanical systems with random perturbations on nonlinear configuration spaces. (English) Zbl 1393.70037
Summary: The mechanical systems given on nonlinear configuration spaces – smooth manifolds – in terms of Newton’s second law and subjected to random perturbations of either forces or velocities, are considered. The machinery of mean derivatives is applied for obtaining well-posod description of the systems and for their investigation.
MSC:
70L05 | Random vibrations in mechanics of particles and systems |